Which of the following is an equation of the line through (2,3) and (-1,-12) Question Which of the following is an equation of the line through (2,3) and (-1,-12) in progress 0 Math Eden 3 weeks 2021-09-11T03:13:09+00:00 2021-09-11T03:13:09+00:00 1 Answer 0

## Answers ( )

Answer:

y = 5x – 7

Step-by-step explanation:

Using the equation of a line with two points

y_2 – y_1 / x_2 – x_1 = y – y_1 / x – x_1

Giving two points

( -4 , 10)(16 , -2)

x_1 = -4

y_1 = 10

x_2 = 16

y_2 = -2

Using the above formula

y_2 – y_1 / x_2 – x_1 = y – y_1 / x – x_1

-12 – 3 / -1 – 2 = y – 3 / x – 2

-15/-3 = y – 3 /x – 2

Cross multiply

-15(x – 2) = -3(y – 3)

-15x + 30 = -3y + 9

-15x + 30 + 3y – 9 = 0

-15x +30 – 9 + 3y = 0

-15x + 21 + 3y = 0

3y = 15x – 21 ( following y = mx + C

Dividing through by 3 to find y

3y/3 = 15x -21 / 3

y = 15x – 21 / 3

We can still separate

y = 15x / 3 – 21/3

y = 5x – 7

Therefore, the equation of the line is

y = 5x – 7