Question

Choose the equation below that represents the line passing through the point (7 , −2) with a slope of -3.

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

Answer 1

From general equation of a line;
y=mx+c
y=-3x+c
Replacing for x and y using point (7, -2)
-2=-3(7)+c
-2=-21+c
-2+21=c
c=19
y=-3x+19