Question

The slope of the line is -3. Use the coordinates of the labeled point to find the point-slope equation of the line.

Answer 1

$m = \dfrac{Y_2 - Y_1}{X_2-X_1}$

$-3 = \dfrac{y + 7}{x - 5}$

$y + 7= -3(x - 5)$

Answer A

Answer 2

Use the point-slope formula for a line:

y-(-7) = -3(x-5) (answer)

Review:  the eq'n of a str line with slope m and one given point (h,k) is

y-k = m(x-h).