Question

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

(-2 ,1) ; M= 5

Answer 1

y-1=5(x+2)

Explanation:

Point-slope form is y-y₁=m(x-x₁)

1 is y₁ so we would fill the first half as "y-1"

We know that m=5, so we can just put it in where m goes.

So far, we are at y-1=5

-2 is x₁ but since it's a negative, and we are also using subtraction, we must cancel it and turn it into a positive. So, we would write (x+2)

The final equation is y-1=5(x+2)