Question

How do you write an equation of a line with Slope = -5, passing through (-4, -2)?

Answer 1

`y=-5x-22`

Explanation:

The point-slope form of a line is given by the formula

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

Where `(x_1,y_1)` is a point through which the line passes and `m` is the line's slope. We have all information required to use this formula, so let's simply plug in `(x_1,y_1)=(-4,-2), m=-5` into the above formula:

`y-(-2)=-5(x-(-4))`

Simplify.

`y+2=-5(x+4)`

(Subtracting a negative is the same as adding)

`y+2=-5x+4(-5)`

Distributive Property.

`y+2=-5x-20`

Solve for `y:`

`ycancel(+2-2)=-5x-20-2`

`y=-5x-22`