Question

What is the equation, in point-slope form, for a line that goes through (8,-4) and has a slope of -5/6?

y+4=-5/6(x-8)

y-4=-5/6(x+8)

y+4=-5/6(x+8)

y-4=-5/6(x-8)

Answer 1

Y+4=-5/6(x-8)

Explanation:

Answer 2

The point-slope form:

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

We have the point (8, -4) and the slope m = -5/6. Substitute:

`y-(-4)=-(5)/(6)(x-8)\\\\\boxed{y+4=-(5)/(6)(x-8)}`