line v has an equation of y = 8x + 2. line w is parallel to line v and passes through (-1, -2). what is the…

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.

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.

Answer

Explanation:

Step1: Determine the slope

Parallel lines have equal slopes. The slope of line $v$ is $m = 8$, so the slope of line $w$ is also $m = 8$.

Step2: Use the point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$. We have $m = 8$, $x_1=-1$ and $y_1=-2$. Substitute these values: $y-(-2)=8(x - (-1))$.

Step3: Simplify to slope - intercept form

First, simplify the point - slope equation: $y + 2=8(x + 1)$ Expand the right side: $y+2 = 8x+8$. Subtract 2 from both sides: $y=8x + 6$.

Answer:

$y = 8x+6$