Question

Write an equation in point-slope form of the line that passes through the given point and with the given slope m

(-5,2), m=4

Answer 1

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

Explanation:

The given point is (-5, 2) and the slope is 4.

Point-slope form is given by:

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

We will let (-5, 2) be (x₁, y₁) and will substitute 4 for m. Therefore:

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

Simplify:

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