Question

what is an equation in point slope form the line parallel to y=3x+2 that contain
p(-7, -6)?

A. Y- 6=3(X + 7)
b. X+6= -3(Y +7)
C. Y+ 6= -3(X +7)
D. Y+ 6= 3(X + 7)

Answer 1

Original line Equation: y = 3x + 2
Compare it with y = mx + b
Here, slope(m) = 3

Now, y - y1 = m(x - x1)
y - (-6) = 3(x - (-7))
y + 6 = 3(x + 7)

In short, Your Answer would be Option D

Hope this helps!