Question

What is the equation of the line with slope `m= -8` that passes through `(-7, -3)`?

Answer 1

The equation is
`y +8x= -59`

Explanation:

`m=-8`
`y_1= -3 , x_1 =-7`

The equation of a line is found using formula

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

`(y- (-3)) = -8 (x- (-7))`

`(y + 3) = -8 (x +7)`

`y + 3 = -8x -56`

`y +8x= -3 -56`

`y +8x= -59`