and Slope
Which point-slope equation represents a line that passes through (3,-2) with a slope of - 4?
5
Oy-3=-=(x + 2)
Oy-2 = (x-3)
Oy+2=-(-3)
Oy+3 = (x + 2)

Answers

Answer 1

Answer: y+2=-4/5(x-3)

Step-by-step explanation:

Answer 2

The equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10

What is an equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given is a slope of a line and a point passing by it, we need to find the equation of the line,

So, the general equation of the line is :-

y = mx + c

where, m is the slope, and the c is the y-intercept.

Put the value of the slope given, in the equation,

y = -4x+c

Now, for find the value of c, just put the values of the x and y from the point in the equation,

-2 = -4(3) + c

c = -2+12

c = 10

Now, we get the value of the c,

So, the equation is y = -4x+10

Hence, the equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10

Learn more about equation, click;

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Related Questions

What is the slope between (2,-5) and (5, -1)?

Show work pleaseeee

Answers

m= y2-y1/x2-x1
m= -1+5/5-2
m= 4/3

Rachel needs to know if the triangle shown is a right triangle. Which equation could he use to help? 36 25 49 (triangle)
A. 136 + 25 = 49
B. 25 + 36 = 49
C. 252 + 362 = 492
D. 362-252 = 492

Answers

a^2+b^2=c^2
36^2+25^2=49^2
Answer is A

Which number is the additive inverse of -5?
O -1/5
O 0
O 1/5
O 5

Answers

Answer:

Step-by-step explanation:

It's the opposite of the sign. So you just add a negative if positive and a positive if negative.

Ex.

-20 = 20

14 = -14

Please do help!! ;^;

Answers

Answer:

10/7 is an improper fraction because the numerator is greater than the denominator.

Step-by-step explanation:

so try 10/7 as a whole number

u = 5

10 + 7u = 45

9u = 45

I NEED ANSWERS!!! ASAP

Answers

The answer for the first one is 4.47945205479, if you need to round that would be 4.5.

The answer for the second one is 20.4945454545, rounding will be 20.5.

The answer for the last one is 893.84, rounding will be 893.8.

If you need to round just remember 4 or less, will be rounded to 0, and 5 or more would be rounded to 10.

The value of a machine worth 45,000 rupees is decreasing at the rate of 20% per annum. Find the total reduction after 2 years?

Answers

Answer:

Total reduction after 2 years = [tex]16,200[/tex] rupees

Step-by-step explanation:

Current price of a machine [tex](P_0)[/tex] = 45,000 rupees

Rate of depreciation (r) = 20%

Time (t) = 2 years

Price after 2 years = [tex]P_0(1-\frac{r}{100} )^t[/tex]

[tex]=45000(1-\frac{20}{100})^2 \\=45000(1-\frac{1}{5})^2\\ =45000(\frac{4}{5})^2\\ =45000(\frac{16}{25})[/tex]

[tex]=28800\,\,[/tex] rupees

Total reduction after 2 years = [tex]P-P_0=45,000-28,800=16,200[/tex] rupees

8c + 20 = -180

c =

can some one help me please

Answers

Answer:

c = -25

Step-by-step explanation:

8c + 120 = -180

Subtract 20 from both sides.

8c = -200

Divide both sides by 8.

c = -25

Answer:

C = -25

Step-by-step explanation:

Start by getting C alone, subtract 20 from the left side of the equal sign and subtract 20 from the right. (what you do on one side you MUST do to the other) this gives you 8c= -200. Divide 8 from 8c on the right side and divide 8 from -200 on the left side. This will give you c= -25

HELP PLEASEE!!!! ASAP which of the following is the slope of any line perpendicular to the line with equation 2x + y - 3 = 0

Answers

Answer:

m perpendicular = −3 / 2

Step-by-step explanation:

y = m x+b

where m represents the slope and b, the y-intercept.

−3 y = −2 x + 5

divide all terms by - 3

−3 y − 3 = − 2 − 3 x + 5 − 3

y = 23 x − 53

in slope-intercept form

slope = m = 23

The slope of a perpendicular line is the

negative reciprocal of m

Why is it important to
understand the procedures for working with
different kinds of numbers
-

Answers

Answer:

Because it helps children and other people understand how the number system works. if you develop number sense you will have a range of different maths strategies like addition subtraction

1890s was rounded to the nearest 10 what is the upper bound

Answers

Answer:

When rounding to the nearest ten, like we did with 1890 above, we use the following rules:

A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Step-by-step explanation:

if 2^6=y^3 what is y?

Answers

this is the answer that i got

Answer:

y=4

Step-by-step explanation:

simplify 2^6 --> 64

find the cube root of 64,

y=4

Need all these questions answer plz

Answers

Step-by-step explanation:

1 result(s) found

−x−3

Step by Step Solution:

More Icon

STEP

Equation at the end of step 1

STEP

x3 + 3x2 - 7x - 12

Simplify ——————————————————

x + 4

Checking for a perfect cube :

2.1 x3 + 3x2 - 7x - 12 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: x3 + 3x2 - 7x - 12

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -7x - 12

Group 2: x3 + 3x2

Pull out from each group separately :

Group 1: (7x + 12) • (-1)

Group 2: (x + 3) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3 Find roots (zeroes) of : F(x) = x3 + 3x2 - 7x - 12

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 1 and the Trailing Constant is -12.

The factor(s) are:

of the Leading Coefficient : 1

of the Trailing Constant : 1 ,2 ,3 ,4 ,6 ,12

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 -3.00

-2 1 -2.00 6.00

-3 1 -3.00 9.00

-4 1 -4.00 0.00 x + 4

-6 1 -6.00 -78.00

-12 1 -12.00 -1224.00

1 1 1.00 -15.00

2 1 2.00 -6.00

3 1 3.00 21.00

4 1 4.00 72.00

6 1 6.00 270.00

12 1 12.00 2064.00

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

x3 + 3x2 - 7x - 12

can be divided with x + 4

Polynomial Long Division :

2.4 Polynomial Long Division

Dividing : x3 + 3x2 - 7x - 12

("Dividend")

By : x + 4 ("Divisor")

dividend x3 + 3x2 - 7x - 12

- divisor * x2 x3 + 4x2

remainder - x2 - 7x - 12

- divisor * -x1 - x2 - 4x

remainder - 3x - 12

- divisor * -3x0 - 3x - 12

remainder 0

Quotient : x2-x-3 Remainder: 0

Trying to factor by splitting the middle term

2.5 Factoring x2-x-3

The first term is, x2 its coefficient is 1 .

The middle term is, -x its coefficient is -1 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3

Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -1 .

-3 + 1 = -2

-1 + 3 = 2

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Canceling Out :

2.6 Cancel out (x+4) which appears on both sides of the fraction line.

Final result :

x2 - x - 3

Terms and topics

More Icon

Polynomial root calculator

Polynomial long division

Answers

Answer:

First one, Second one, and fourth one

Given: The red rectangular block has dimensions [tex]4\frac{1}{4}[/tex] inches by [tex]6\frac{1}{4}[/tex] inches by [tex]5\frac{1}{4}[/tex] inches.

To find: volume of the red block

Solution:

Volume of the rectangular box = length × breadth × height

First convert [tex]4\frac{1}{4}[/tex], [tex]6\frac{1}{4}[/tex] and [tex]5\frac{1}{4}[/tex] inches into improper fractions.

[tex]4\frac{1}{4}=\frac{17}{4} \\6\frac{1}{4}=\frac{25}{4} \\5\frac{1}{4} =\frac{21}{4}[/tex]

So,

Volume of the rectangular box [tex]=4\frac{1}{4} (6\frac{1}{4})(5\frac{1}{4} )=\frac{17}{4}(\frac{25}{4})(\frac{21}{4} )=\frac{8925}{64}=139\frac{29}{64}[/tex] cubic inches

Can someone please help me on this math chart and graph above I’ve already posted 3 pictures of it and no one is answering :( I’ll mark as brainliest if you answer. Picture is above thank you.

Answers

the function is x^2-9, so all you have to do is replace x with a number. for example, 2.

so 2^2-9 is -5. the plot would be 2, -5. basically, plug in a number to be the x coord, and whatever number you get will be your y coord.

after you graph a few plots (doing the same thing above), draw a line through all of them.

if the line goes up towards the right top corner, it's increasing. if it goes down the right bottom corner, it's decreasing.

2x-3y=6 How do you get y by itself

Answers

Answer:

[tex]y=\frac{2x-6}{3}[/tex]

Step-by-step explanation:

3y=2x-6

[tex]y=\frac{2x-6}{3}[/tex]

First, you have to move the x, along with the coefficient(2).

To move the 2x, you have to subtract it from both sides.

So you have -3y= 6-2x

Now you have to divide by -3.

DON’T FORGET THE NEGATIVE.

So you have y = -2 +2/3

In slope intercept form

If this helped please mark branliest

The number of pupils in a school increases by 15% every year. If there are 1058 pupils this year, what was the enrollment last year?

Answers

Hi there

I think I maybe able to help.

Here is my answer:

996

Hope this helps

graph y= -x -6 please

Answers

Use desmos and type in coordinates

Answer:

Correct

Step-by-step explanation:

Your graph is correct. The y-intercept is -6 and the slope is negative one, so you count one down and one to the right.

Raza works at a flea market selling sunglasses. He is paid $7.50/h plus a 75¢ commission for every pair of sunglasses he sells.
Write an equation to model Raza’s earnings. (1 mark)

Find Raza’s earnings if he sells 25 pairs of sunglasses during a 6-h shift. (2 marks)

How many pairs of sunglasses must he sell to earn $90 in 8 h? (2 marks)

Answers

Answer:

7.50h+0.75s 63.75 30

Step-by-step explanation:

7.50 x how many hours + 0.75 x how many sunglasses he sold

7.50 x 6 + 0.75 x 25= 63.75

7.50x8= 60 0.75x40=30 60+30=90

Evaluate each expression.
2(5) + 3(4+ 3) =

Answers

Answer:

Step-by-step explanation:

10 + 3(7)

10 + 21

= 31

Answer:

Step-by-step explanation:

You can use BODMAS rule here to Simplify an expression and do not have to worry about which to do first multiply or addition.

B- bracketsO- ofD- DivisionM- multiplicationA- additionS- subtraction

2(5) + 3(4+3)

= 10 + 3(7)

= 10 + 21

=31

It takes 140 minutes to finish a 40-question math test. How many minutes does it take, on average, to solve each math problem? * O 2 1/2 minutes 4 1/4 minutes O 3/4 minutes O 32 minutes

Answers

The answer will be 3.5 minutes.

Answer:

Step-by-step explanation:

Average = Questions / Time

Average = 140 / 40 = 14/4 = 7/2 = 3 1/2 = 3.5

and Slope Which point-slope equation represents a line that passes through (3,-2) with a slope of - 4? 5 Oy-3=-=(x + 2) Oy-2 = (x-3) Oy+2=-(-3) Oy+3 = (x + 2)

Answers

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and Slope
Which point-slope equation represents a line that passes through (3,-2) with a slope of - 4?
5
Oy-3=-=(x + 2)
Oy-2 = (x-3)
Oy+2=-(-3)
Oy+3 = (x + 2)