Question

Which equation represents a line that passes through (–9, –3) and has a slope of –6?

y – 9 = –6(x – 3)
y + 9 = –6(x + 3)
y – 3 = –6(x – 9)
y + 3 = –6(x + 9)

Answer 1

Use point-slope: y - y1 = m(x - x1). With (x1,y1)=(-9,-3) and m=-6:

y - (-3) = -6(x - (-9)) → y + 3 = -6(x + 9).

So the correct choice is: y + 3 = −6(x + 9).