Question

Choose the point-slope form of the equation of this line.

y – 8 = –5(x – 3)

y – 8 = –5(x + 3)

y + 8 = –5(x – 3)

y + 8 = –5(x + 3)

On a coordinate plane, a line goes through points (2, negative 3) and (3, negative 8).

Answer 1

First find the slope: m = (-8 − (−3)) / (3 − 2) = −5.
Using point (3, −8) in point-slope form y − y1 = m(x − x1):

y − (−8) = −5(x − 3) → y + 8 = −5(x − 3).

So the correct choice is: y + 8 = −5(x − 3).