Question

Choose the equation below that represents the line that passes through the point (7, -2) and has a slope of -3.

Answer 1

y + 7 = -3(x - 2)
y - 7 = -3(x + 2)
y - 2 = -3(x + 7)

y + 2 = -3(x - 7)

Answer 2

use point-slope form:
y - Y = m(x - X)
where (X,Y) is a given point on the line and m is the slope

since you're given (X,Y) = (7,-2) and m= -3

y - -2 = -3(x - 7)
y + 2 = -3(x - 7)

this is equal to option D.

Answer 3

Plug it all into the equation:
y-y1 = m (x-x1)
with m = slope (-3) and your given points, (7,-2) equated with (x1,y1)