Question

line v has an equation of $y = 8x + 2$. line w is parallel to line v and passes through $(-1, -2)$. what is the equation of line w?
write the equation in slope-intercept form. write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Explanation:

Step1: Identify parallel line slope

Parallel lines have equal slopes. For line $v: y=8x+2$, slope $m=8$.

Step2: Substitute point into slope-intercept form

Use point $(-1,-2)$ and $y=mx+b$:
$-2 = 8(-1) + b$

Step3: Solve for y-intercept $b$

$-2 = -8 + b$
$b = -2 + 8 = 6$

Step4: Write line w's equation

Substitute $m=8$ and $b=6$ into $y=mx+b$.

Answer:

$y = 8x + 6$