Question

What is the equation of the line with slope `m= 12/11` that passes through `(-2,-8)`?

Answer 1

The point-slope form is `y+8=12/11(x+2)`.

Explanation:

Use the point-slope equation for a line.

`y-y_1=m(x-x-1)`, where `m` is the slope, `12/11`, and `(x_1,y_1)` is `(-2,-8)`

Substitute the given values into the equation.

`y-(-8)=12/11(x-(-2))`

Simplify.

`y+8=12/11(x+2)`