Question

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

Answer 1

y + 4 =-5(x - 8)

Explanation:

We are asked to write the point-slope equation for a line with a slope of -5, given that it also passes through (8,-4).

Use the point-slope formula.

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

Substitute the values.

`y-(-4)=-5(x-8)`

`y+4=-5(x-8)`

Therefore, the point-slope equation is y + 4 = -5(x - 8).