Question

Write an equation of a line that goes through the points (10,-21) and (6,-9)

Answer 1

`y=-3x+9`

Explanation:

Step 1: Find the slope

`m=(y_2-y_1)/(x_2-x_1)`

`m=(-9-(-21))/(6 - 10)`

`m=(12)/(-4)`

`m=-3`

Step 2: Find the equation

`(y-y_1)=m(x-x_1)`

`(y-(-9))=-3(x-6)`

`y+9=-3x+18`

`y=-3x+9`

Answer:
`y=-3x+9`