find the equation of the line parallel to y = 3x + 8 that includes the point (-3, 7). give your answer in…

find the equation of the line parallel to y = 3x + 8 that includes the point (-3, 7). give your answer in point - slope form. y - ? = (x - ) point - slope form: y - y1 = m(x - x1)

find the equation of the line parallel to y = 3x + 8 that includes the point (-3, 7). give your answer in point - slope form. y - ? = (x - ) point - slope form: y - y1 = m(x - x1)

Answer

Explanation:

Step1: Identify the slope

Parallel lines have equal slopes. The slope of the line $y = 3x+8$ is $m = 3$, so the slope of the new - line is also $m = 3$.

Step2: Identify the point - slope form values

The point - slope form is $y - y_1=m(x - x_1)$. We are given the point $(-3,7)$, so $x_1=-3$ and $y_1 = 7$.

Answer:

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