Question

parallel/perpendicular line through a point (mc)
question
find the equation of a line parallel to y = 4x - 4 that passes through the point (-9, -8)
answer
y = 4x + 28
y = -1/4x - 4
y = 1/4x - 4
y = -4x + 28

Explanation:

Step1: Identify the slope of the given line

The line $y = 4x-4$ has a slope $m = 4$. Parallel lines have equal slopes. So the slope of the required line is also $m = 4$.

Step2: Use the point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $(x_1,y_1)=(-9,-8)$ and $m = 4$. Substitute these values:
$y-(-8)=4(x - (-9))$

Step3: Simplify the equation

$y + 8=4(x + 9)$
$y+8 = 4x+36$
$y=4x + 28$

Answer:

$y = 4x+28$