Question

Which point-slope equation represents a line that passes through (3,-2) with a slope of -4/5?

y-3=(x+2)
y-2 = (2x - 3)
y+2=- (– 3)
y + 3 = 4(x + 2)

Answer 1

y + 2 = -4/5 (x - 3)

Explanation:

y - y1 = m (x - x1). Put in your points for y1 and x1, and always remember to flip your signs.

unfortunately, I don't know why that isn't one of your answers, so sticking with the positive 2 I would choose y+2=- (- 3) if I were you. Looks like the -4/5 disappeared somehow?

Hope this helps