what is the equation of a line in slope intercept form that passes through points (4,3) and (1,-6)
pls help quick : )

Answers

Answer 1

Answer:

y = 3x-9

give me brainliest please

Step-by-step explanation:

To find the equation of a line that passes through two points, use point-slope form.

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

where [tex](x_{1}, y_{1})[/tex] is the first point, and [tex]m[/tex] is the slope.

Start with the slope (m). To find the slope, you find the change in y over change in x, or  [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] = [tex]\frac{-6-3}{1-4}[/tex] = [tex]\frac{-9}{-3}[/tex] = 3

[tex]m=3[/tex]

Then, put the values into point-slope equation.

[tex]y-y_{1} = m(x-x_{1})[/tex]  =  [tex]y-3 = 3(x-4)[/tex]  =  [tex]y-3 = 3x-12[/tex]  =  [tex]y = 3x-9[/tex]


Related Questions

what is the slope of (1,9) and (6,34)

Answers

Answer:

[tex]m=5[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (1, 9)

Point (6, 34)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{34-9}{6-1}[/tex]Subtract:                       [tex]m=\frac{25}{5}[/tex]Divide:                          [tex]m=5[/tex]

Answer:

The slope is 5

Step-by-step explanation:

so you use formula m= y2-y1/x2-x1 and use 34 as y2, 9 as y1, 6 as x2 and 1 as x1 then plug in numbers when using the formula and do the math and get your slope

6.3232 or 6.3202 is grater?

Answers

Answer:

6.3232 is greater

Step-by-step explanation:

7. What is the value of the expression 3(2-7)?
A -27
B. –15
C. 15
D. 27

Answers

Answer:

Step-by-step explanation:

2-7=-5

-5*3=-15

Answer:

B. -15

Step-by-step explanation:

3(2)–3(7) = -15

6–21= -15

who makes more money bob who get paid $1000 biweekly or Patrick who get $1000 semi monthly

A. They live under the sea and cant get paper money
B. Bob
C. Patrick
D. The same ​

Answers

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Good ol bob is the answer :)

$482.56 divided by 8

Answers

Not too sure, but isn’t it 60.32?

Answer:

your answer would be $60.32

Jocelyn was given a gift card for a coffee shop. Each morning, Jocelyn uses the card
to buy one cup of coffee. Each cup of coffee costs $3 and the original amount of
money on the gift card was $45. Make a table of values and then write an equation for
A, in terms of x, representing the amount money remaining on the card after buying
2 cups of coffee.
Number of Cups of Coffee Amount of Money Remaining on Card
0
1
2
3

Answers

Answer:

0 - $45

1 - $42

2 - $39

3 - $36

3(a)=45

with 2 more cups it there would be $30 left

Step-by-step explanation:

Answer:

Step-by-step explanation:

A = 45 - 3x ;

(0, 45);

(1, 42);

(2, 39);

(3, 36)

FIRST ANSWER GETS BRAINLIEST! (WILL ONLY COUNT IF YOU ANSWER CORRECTLY)

You are purchasing a car for $12,465.00 plus 5.65% sales tax. You make a $1,300.00 down payment and have a fair credit score. If you improved your credit score to good and paid $1,500 on your purchase, how much interest could you save in the first month?




Secured Unsecured
Credit APR (%) APR (%)
Excellent 4.75 5.50
Good 5.00 5.90
Average 5.85 6.75
Fair 6.40 7.25
Poor 7.50 8.40






A) $14.68




B) $13.25



C) $25.69

Answers

Answer:

A

Step-by-step explanation:

Add 19 to ‘a’ and divide the sum by 5, you will get 8

Answers

Answer:

a = 21

Step-by-step explanation:

Given

[tex]\frac{a+19}{5}[/tex] = 8 ( multiply both sides by 5 to clear the fraction )

a + 19 = 40 ( subtract 19 from both sides )

a = 21

Does anyone know the correct answer? Btw happy thanksgiving :-)

Answers

Answer:

7.5

Step-by-step explanation:

Answer:

Median: 7.5 according to calculator

There are 13 boxes with 5 pencils in each box. How many pencils in all? (PLZ HELP)​

Answers

Answer:

65 pencils in all

Step-by-step explanation:

13 times 5 is 65, so 65 pencils in all.

2b-m=5 what is the solution for m

Answers

Answer:

m = -5 + 2b

Step-by-step explanation:

2b - m = 5

-2b    -2b

-m = 5 - 2b

-1         -1

5 ÷ -1 = 5

-2b ÷ -1 = 2b

m = -5 + 2b

Find the distance between the points (-4,-2) and (4,3)

Answers

Answer:

9.433981132

Step-by-step explanation:

To learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points, and I used my calculator to do so.

find a factor of 3x^2- 16x - 12​

Answers

Answer:

x= -2/3 and 6

Step-by-step explanation:

3x²-16x-12

3x²-18x+2x-12

(3x²-18x)+(2x-12)

3x(x-6)+2(x-6)

(3x+2)(x-6)

x= -2/3 and 6

Answer:

(3x+2)(x - 6)

Step-by-step explanation:

Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?
45°
60°
120°
135°

Answers

Answer:

135 degrees

Step-by-step explanation:

135 is 3 times the measure of 45, and 45 + 135 equals 180. Supplementary angles add up to 180 degrees.

Answer:

Step-by-step explanation:

135

is negative 8 a term

Answers

Answer:

Negative coefficients are simply coefficients that are negative numbers. An example of a negative coefficient would be -8 in the term -8z or -11 in the term -11xy. The number being multiplied by the variables is negative.

Step-by-step explanation:

put it in your own words

yesssssssss!!!!!!!!!

You need exactly 47 bottles of water. You don’t want to buy more than you need, but you want the least expensive way. List the best way to buy exactly 47 bottles of water.

GIVING 10 POINTS PLZ DO QUICLY

Answers

Answer: That would be 1 case  + 112 pack + 16 pack +  5 singles

Step-by-step explanation:

I Need help on the first question please will mark brainiest

Answers

Answer:

D

Step-by-step explanation:

In the seventh grade, Rachel read 15 books.
In the eighth grade, she read 18 books.
Determine the percent of increase in the
number of books Rachel read.

Answers

Answer:

20%

Step-by-step explanation:

Calculate percentage change

from V1 = 15 to V2 = 18

(V2−V1)|V1|×100

=(18−15)|15|×100

=315×100

=0.2×100

=20%change

=20%increase

Answer:

20%

Step-by-step explanation:

Which option? Help would be appreciated greatly

Answers

Answer:

Option 4: 6^7

Step-by-step explanation:

The rule is that when multiplying same bases with different exponents, the exponents only get added.

In other words, (x^a)(x^b)=x^(a+b)

In this case, (6^3)(6^4)=6^(3+4)=6^7

Therefore, Option 4 is correct

Draw the dilation of ABCD using center D and scale factor 1/3. Label the dilation EFGH

Answers

Answer:

Please find attached, the required drawing of quadrilateral ABCD and the dilation of quadrilateral ABCD scaled down by a scale factor of 1/3

Step-by-step explanation:

The coordinates of the quadrilateral ABCD are;

A(0, 6), B(6, 6), C(9, 0), D(0, 0)

From the dilation by a scale factor of 1/3, using D as the center of dilation, we have from the attached drawing, the following coordinates of the quadrilateral EFGH as E(0, 2), F(2, 2), G(3, 0) H(0, 0) which is the quadrilateral ABCD scaled down by 1/3

can you answer my questions quick ​

Answers

Answer:

6 servings

Step-by-step explanation:

Let's say there are x 2/3 cup servings in a 4 cup container.

We multiply 2/3 by x to get the amount of cups that will produce and set that equal to 4 (because we want 4 cups):

(2/3) * x = 4

Divide both sides by 2/3, or multiply both sides by the reciprocal 3/2:

x = 4 * (3/2) = 12/2 = 6

The answer is 6 servings.

Which system is equivalently to

Answers

Answer:

third

Step-by-step explanation:

Answer:is the first one

Step-by-step explanation: I guessed, well that’s what I think and if u have a problem with it then

At the start of the month, the value of an investment was $53.92. By the end of the month, the value of the
investment changed by a loss of $17.40.
What was the value, in dollars, of the investment at the end of the month?

Answers

Answer:

$36.52

you're welcome :)

4x + 5y = 30
5x + 3y = 31

Answers

Answer:

Sorry i don't get the question

Step-by-step explanation:

What is the correct scale factor?

Answers

Answer:To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides.

Step-by-step explanation:

A baker decorates 42 cupcakes in 30 minutes. She decorates cupcakes at a constant rate.
How many cupcakes can the baker decorate per minute?​

Answers

Answer:

I'm pretty sure its 1.4 cupcakes

6x-25 >x +50



ASAPPP PLEASE HELP ME !!

Answers

Answer:

X > 15

Step-by-step explanation:

what is the range of the function f(x)=-8x+13 when the domain is (-2,0,3)?

Answers

Answer:

The complete set of domain (x) and range values (y) is given by:

x                   y

-2                39

0                 13

3                  11

Step-by-step explanation:

Considering the function

[tex]f(x)=-8x+13[/tex]

As we know that the range of a function consists of the entire set of all possible resulting values of the dependent variable commanly called y or f(x), once we have substituted the domain.

Now

As the x values are -2, 0, and 3. So, the domain interval is (-2,0,3).

Putting x = -2 in f(x) to determine the range for the value x = -2

[tex]f(x)=-8x+13[/tex]

[tex]f(-2)=-8(-2)+13=16+13=39[/tex]

Putting x = 0 in f(x) determine the range for  the value x = 0

[tex]f(x)=-8x+13[/tex]

[tex]f(0)=-8(0)+13=0+13=13[/tex]

Putting x = 0 in f(x) determine the range for the value x = 3

[tex]f(x)=-8x+13[/tex]

[tex]f(3)=-8(3)+13=-24+13=11[/tex]

Therefore, the complete set of domain (x) and range values (y) is given by:

x                   y

-2                39

0                 13

3                  11

Which of the following expressions is not equivalent to 12x + 18y?

A.
6(2x + 3y)

B.
3(4x + 18y)

C.
6(2x) + 18y

D.
6x + 9y + 6x + 9y

Answers

A. 6(2x + 3y)

you divide 12 and 6 which will give you 2 then you divide 18 and 6 which will give you 3

Describe the products made by the process of cellular respiration.

Answers

Step-by-step explanation:

The product is carbon dioxide and water

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