Question

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

y-9=-5(x – 3)
y+9= -6(x + 3)
y-3--5(x – 9)
y+3=-6[X + 9)

Answer 1

y +3 = -6(x +9)

Explanation:

The point-slope form of the equation of a line is ...

y -k = m(x -h)

for a line with slope m through point (h, k).

You want the line with slope -6 through point (-9, -3), so its equation is ...

y -(-3) = -6(x -(-9))

y +3 = -6(x +9) . . . . . matches the last choice