Write the standard form of the equation of the line through the given point with the given slope. point (-1.0); slope -2/3​

Answer:

m = -1/4

Step-by-step explanation:

The slope is rise/run or (y2 - y1) / (x2 - x1)

We see the y decrease by 2 and the x increase by 8, so the slope is

-2/8 = -1/4

Answer:

Slope = -1/4

Step-by-step explanation:

Now we have to,

→ find the needed slope.

Formula we use,

→ Slope(m) = (y2 - y1)/(x2 - x1)

Then the slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (1 - 3)/(-1 -(-9))

→ m = -2/(-1 + 9)

→ m = -2/8

→ [ m = -1/4 ]

Hence, the slope is -1/4.

The standard form of the equation of the line for the function is; y =6x + 18

We know that it is possible to obtain the equation of the line by obtaining the slope of the data points. The slope of the data points can be obtained by the use of the points that have been shown in the table.

Taking any two points on the table we have;

[tex]y_{1}[/tex] = 0

[tex]y_{2}[/tex] = -12

[tex]x_{1}[/tex] = -3

[tex]x_{2}[/tex] = -1

Using;

y - [tex]y_{1}[/tex]  =  [tex]y_{2}[/tex]  - [tex]y_{1}[/tex] /[tex]x_{2}[/tex]  - [tex]x_{1}[/tex]  (x - [tex]x_{1}[/tex] )

We have;

y - 0 = (-12) - 0/(-1) - (-3) ( x - (-3))

y = 12/2 (x + 3)

y =6x + 18

Learn more about equation of a line:https://brainly.com/question/21511618

#SPJ1

The first step that justifies Anne's first step while solving the expression is the commutative law of addition.

The property that best justifies Anne’s first step is the addition property of equality. This allows you to add four on the left side of the equal sign to cancel it out. In order to be fulfill the property, what you do to one side you must do to the other so you add that same amount (4) to the right side of the equal sign.

3x-4 = 5

(3x-4) +4 = 5 + 4

3x = 9

Final Answer: Addition Property of Equality

To learn more about Communicative law refer to:

https://brainly.com/question/778086

#SPJ1

Answer:

[tex]30ft^{2}[/tex]

Step-by-step explanation:

{(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}{(−4,−2),(−1,−1),(3,2),(3,5),(7,10)} ordered pairs is not a function. A mapping between two sets, which is a relation and can potentially be a function, can be represented by a set of ordered pairs.

Complete question :

Which of the relations given by the following sets of ordered pairs is not a function?

a. {(5,2),(4,2),(3,2),(2,2),(1,2)}{(5,2),(4,2),(3,2),(2,2),(1,2)}

b. {(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}{(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}

c. {(−8,−3),(−6,−5),(−4,−2),(−2,−7),(−1,−4)}{(−8,−3),(−6,−5),(−4,−2),(−2,−7),(−1,−4)}

d. {(−6,4),(−3,−1),(0,5),(1,−1),(2,3)}

To learn more about function refer :

https://brainly.com/question/11624077

#SPJ1

The continuity of the piece-wise functions is defined as follows:

1. Not continuous.

2. Not continuous.

3. Not continuous.

A piece-wise function is a function that has multiple definitions, depending on the input.

Then the function is classified as continuous if the lateral limits at the points that the function change the definition are equal, and also equal to the numeric values of the function.

None of the functions in this problem are continuous, as:

More can be learned about the continuity of a function at https://brainly.com/question/24637240

#SPJ1

The equation in slope intercept form of line , parallel to the line 6x - y = 1 and passing through point (-2,2) is y = 6x + 14  .

When the two line are parallel , then their slopes are same .

the required line is parallel to the given line 6x - y = 1 ,

rewriting it , we get ;

y = 6x - 1 ;

on comparing it with the slope intercept form of line , "y = mx + c" ,

we get ,

slope(m) ⇒ 6 .

So , the equation of the required line becomes ⇒ y = 6x + c ;

Since this line passes through the point (-2,2) ,

we get ,

2 = 6(-2) + c ;

2 = -12 + c ;

c = 12 + 2 ;

c = 14  .

the equation becomes ⇒ y = 6x + 14 .

Therefore , the equation of the line is y = 6x + 14 .

The given question is incomplete , the complete question is

What is the equation in slope intercept form of the line that is parallel to the given line 6x - y = 1 and passes through point (-2,2) ?

Learn more about Lines here

https://brainly.com/question/8821518

#SPJ4

The number of two-points and three points shot the cruisers scored are 24 and 19 respectively.

The Cruisers scored a total of 105 points in a basketball game against the Strikers. The Cruisers had a total of 43 baskets, some of which were two-point shots and some of which were three-point shots.

Therefore, the number of two-points and three-points the cruiser scored is as follows:

let

x = number of two-points

y = number of three-points

Hence, using equation

x + y = 43

2x + 3y = 105

Multiply equation(i) by 2

2x + 2y = 86

2x + 3y = 105

subtract equation(i) from equation(ii)

y = 19

Let's find x as follows:

x = 43 - 19

x = 24

Therefore,

number of two points = 24

number of three points = 19

To learn more about equations refer :

https://brainly.com/question/18649329

#SPJ1

With an increase of 79% the growth factor is 1.79.

The rate at which a quantity multiplies itself over time is known as its growth factor.

A quantity's growth rate is the factor by which it grows (or shrinks) over time.

An increase of 79% is the same result as multiplying with 1.79.

We call 1.79 a growth factor.

In other words:

With an increase of 79%,

you will get 100+ 79 = 179%.

The growth factor that corresponds with 179% = 179 : 100 = 1.79.

Written as a formula, it looks like this:

With an increase of p % the growth factor is

g = (100 + p) / 100

Simplifying,

g = 1 + p /100

g = 1 + 79/100

g = 1 + 0.79

g = 1.79.

Therefore, the growth factor is 1.79.

To learn more about the growth factor;

https://brainly.com/question/9814787

#SPJ1

When I. there is a lot of scatter around the regression line, b1 is higher.

A statistical measure that identifies the link or co-relationship between two variables. explains the relationship between an independent variable and a dependent variable. The scatter of data points around the regression line plays a key role in estimating the slope's uncertainty in regression analysis. The data points are more dispersed and the estimation of the slope is less accurate when there is a lot of scatter. Because the estimation of the slope is based on the data points, it is less accurate when there is greater scatter in the data points.

Given

When I. there is a lot of scatter around the regression line, b1 is higher.

I am higher. The uncertainty surrounding the slope estimate, b1, increases with the amount of scatter around the regression line. The calculated slope is less dependable when there is a lot of scatter than when there is very little scatter.

When there is a large amount of scatter around the regression line, the uncertainty associated with the slope estimate, b1, is higher. This is due to the fact that the estimate of the slope depends on the data points, and when there is a lot of scatter, the data points are more dispersed, making the estimate of the slope less accurate.

To know more about regression, visit:

https://brainly.com/question/29558441

#SPJ1

Answer: -6

Step-by-step explanation: To determine the largest integer value of x in the solution of the inequality 2x+6<-4, we first need to isolate x on one side of the inequality. We can do this by subtracting 6 from both sides of the inequality, which gives us 2x<-10. Next, we can divide both sides of the inequality by 2, which gives us x<-5. Since the inequality has a strict inequality symbol, we can conclude that the largest integer value of x that satisfies the inequality is -6.

This equation expresses x as a function of y, meaning y is the input and x is the output. This inverse equation can be used to solve for x when given a value of y

x = (y - 1) / 16

In order to find the inverse of a given equation, we need to switch the x and y values and solve for the new x. To do this, we start by subtracting 1 from both sides of the equation to isolate the y variable. Then, we divide both sides of the equation by 16 to find the inverse equation, x = (y - 1) / 16. This equation expresses x as a function of y, meaning y is the input and x is the output. This inverse equation can be used to solve for x when given a value of y

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

Answer:

√6

Step-by-step explanation:

the altitude is √a*b

and and b being the base so find their distance then multipky them under the root

subtracdt the x values to find the distance

4-1=3

6-4=2

the root of 2*3 is the root of 6

done

Answer:

  x = 4

Step-by-step explanation:

You want the equation of AD perpendicular to BC, where the point coordinates are A(4, 6), B(1, 2), C(6, 2).

We notice the y-coordinates of point B and C are the same, indicating the line is horizontal. Its equation is y = 2.

The line perpendicular to the horizontal line y = 2 will be a vertical line. Its equation will be of the form ...

  x = c

where c is some constant.

We want this line to go through the point (4, 6), which has an x-coordinate of 4. That means the constant in the equation must be 4:

  x = 4 . . . . . . equation of AD

An asymptote calculator is a tool that can be used to find the asymptotes of a given function.

Generally,  An asymptote is a straight line that a curve approaches, but never touches, as it extends indefinitely in one direction or another. There are three types of asymptotes: horizontal, vertical, and oblique.

To use an asymptote calculator, you would typically enter the equation of the function for which you want to find the asymptotes. The calculator will then analyze the equation and determine the type and location of the asymptotes, if any. Some asymptote calculators may also provide a visual representation of the function and its asymptotes, using a graph.

Read more about asymptote calculator

https://brainly.com/question/28875897

#SPJ1

The triangles are congruent if two sets of comparable angles and the side separating them are known to be congruent. Angle-side-angle is the name of this shortened phrase (ASA). Angle-angle-side (AAS), which takes use of the fact that two sets of angles and the excluded side are known to be congruent, is another shortcut.

ASA is another name for angle side angle. According to the criterion, any two angles and the side that is contained between them in one triangle are equivalent to the corresponding angles and the included side of the other triangle if the two triangles are congruent.

According to the Angle Angle Side (AAS) Postulate, two triangles are congruent if two consecutive angles and a non-included side of one triangle are congruent with the equivalent two consecutive angles and a non-included side of another triangle.

Learn more about Angle Angle Side  to visit this link

https://brainly.com/question/29124246

#SPJ4

Answer:

carbon dioxide + water sunlight glucose + oxygen

Step-by-step explanation:

glucose on the right because it is a by product of photosynthesis.

Answer:

5(6q+r)

Step-by-step explanation:

We first find the GCF of 30q +5r

The GCF is 5

So, our answer is 5(6q+r)

We can't factor more after this

Now Let's test to see it is correct or not

5(6q+r)

= 30q + 5r

So, my answer is correct

Answer:

[tex]=5(6q+r)[/tex]

Step-by-step explanation:

[tex]Factor 30q+5r\\30q+5r\\=5(6q+r)[/tex]

Hope it helps

Answer:

x=0, y=-4

Step-by-step explanation:

y=3x-4

2(3x-4)-6x=-8

6x-8-6x=-8

The solution of [tex]x^{2} - 3x-4=0[/tex] is x=(4,−1).

What is fraction ?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator. In Maths, there are three major types of fractions. They are proper fractions, improper fractions and mixed fractions.

Have given ,

[tex]x^{2} - 3x-4=0\\x^{2} -4x +x-4=0\\x(x-4)+1(x-4)=0\\(x-4)(x+1) = 0\\[/tex]

x - 4 = 0                

x = 4

and x + 1 = 0

x = -1

The solution of [tex]x^{2} - 3x-4=0[/tex] is x = (4,−1).

To learn more about fraction visit : brainly.com/question/10354322

#SPJ4

On solving the provided question, we can say that, 16 square units make up the area of a circle with a radius of 4 units.

The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. Through the center of the circle, a straight line defines the diameter. Half of the diameter is the radius. End in the circle's center after beginning at one of its points.

Pi times the radius squared equals the area of a circle (A = π r²). Learn how to apply this equation to determine a circle's area given its diameter.

16 square units make up the area of a circle with a radius of 4 units.

To know more about radius visit:-

https://brainly.com/question/28946570

#SPJ4

You can get Universal Credit Loophole for $1,500 through Advance Payment.

While you wait for the first distribution of Universal Credit, advance payments up to the full amount of the first anticipated payment are available if you need money to pay bills and other household needs. In your online account or by contacting your Job-Centre Plus job coach, you can submit an application for an advance payment.

You will require:

The money must be repaid within a year by taking deductions from your Universal Credit installments.

To learn more about Payment here:

https://brainly.com/question/16973123

#SPJ4

a) The length of AB is given as follows: 14.387.

b) The measure of angle BAC is given as follows: 78.4º.

The length of AB, from the sketch of the triangle given by the image at the end of the answer, is obtained using the law of cosines, as follows:

x² = a² + b² - 2abcos(C).

The parameters from the triangle are given as follows:

a = 8, b = 15, C = 70º.

Hence the length of AB is given as follows:

x² = 8² + 15² - 2 x 8 x 15 x cos(70º)

x² = 207

x = square root of 207

x = 14.387.

The measure of angle BAC is obtained using the law of sines, as follows:

sin(x)/15 = sin(70º)/14.387

sin(x) = 15 x sin(70º)/14.387

sin(x) = 0.9797.

x = arcsin(0.9797)

x = 78.4º.

More can be learned about the law of cosines at https://brainly.com/question/4372174

#SPJ1

The example of composition function f(g(x)) is given by f(x) = 2x + 1   and g(x) = 3x then f(g(x)) = 6x + 1.

As given in the question,

Composition function is written as :

(fog)(x) = f(g(x))

Here substitute the value x in the function f(x) as function g(x) :

Example of the composition function is:

f(x) = 2x + 1

g(x) = 3x

(fog)(x)

= f(g(x))

=f(3x)

= 2(3x) + 1

= 6x + 1

Therefore, the example of the composition function f(g(x)) is given by :

f(x) = 2x + 1   and g(x) = 3x then f(g(x)) = 6x + 1.

The above question is incomplete, the complete question is:

What is an example of the function f (g(x))?

learn more about function here

brainly.com/question/5975436

#SPJ4

Answer:

Step-by-step explanation:

Slope (m) = ΔY/ΔX = 1/4 =0.25

Answer:

Step-by-step explanation:

The remaining angles  ∠B ,∠C and ∠D is 90°,60°,90°.

Given : Angle A = 120°

To find: ∠B ,∠C , ∠D

Solution: In figure, an inscribed angle is the angle formed in the innards of a circle when two heartstrings cross on the circle. It can also be outlined as the angle subtended at a point on the circle by two presented junctures on the circle. Inversely, an incised angle is defined by two heartstrings of the circle sharing an endpoint .

∠A+∠C=180

 ∠C=180-120

 ∠C= 60;

 In triangle ABC :  ∠BAC + ∠ACB+∠ABC=180°

                               60° + 30° + ∠ABC = 180°

                                ∠ABC = 180°-90°

                                ∠ABC = 90° (so B is 90°)

Therefore, ∠B+∠D=180°

                   ∠D=180°-90°

                    ∠D=90°

To learn more about Angle,

https://brainly.com/question/25770607

The Formula for the nature of roots is D = b² - 4ac .

The Nature Of Roots of the quadratic equation "ax² + bx + c" formula can be determined by the discriminant formula ,

the discriminant formula is D = b² - 4ac ; where a is the coefficient of x² and b is the coefficient of x .

If the value of Discriminant is greater than 0 , then the roots are Real and distinct .

If the value of Discriminant is 0 , then the roots are Real and Equal .

If the value of Discriminant is less than 0 , then the roots are Imaginary and conjugate .

Learn more about Nature Of Roots here

https://brainly.com/question/12383696

#SPJ4

The equation is y = 1/3 x + 10/3. The y-intercept is 10/3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the point (5,5) is on a line with slope 1/3. The y-intercept will be calculated as,

y = mx + c

5 = (5/3)) + c

c = ( 15 - 5 ) / 3

c = 10 / 3'

y = 1/3x + 10/3

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ1

Answer:

  178,200

Step-by-step explanation:

You want to know the number of gallons added to a 660,000 gallon pool to raise it from 63% full to 90% full.

The increase from 63% to 90% is an increase of ...

  0.90 -0.63 = 0.27

of the capacity of the pool. That fraction of the capacity is ...

  0.27 × 660,000 gallons = 178,200 gallons

The maintenance company added 178,200 gallons.

y-8=6x+10

y=6x+10+8

y=6x + 18

this follow y = mx+x it means it's a linear

y= 5x²+19

it doesn't follow y = mx+x so it's a Non Linear

4y = x

it doesn't follow y = mx+x so it's a Non Linear

y = 2x + 9

this follow y = mx+x it means it's a linear