writing equations of parallel lines\nwhat is the equation of the line parallel to the given line with an x…

Explanation:

Step1: Find the slope of the given line

Use two - point formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let the two points on the given line be $(-1,5)$ and $(-2,-3)$. Then $m=\frac{5+3}{-1 + 2}=\frac{8}{1}=8$. Parallel lines have equal slopes, so the slope of the new line is also $m = 8$.

Step2: Use the x - intercept to find the y - intercept

The x - intercept is 4, so the point on the new line is $(4,0)$. Use the point - slope form $y - y_1=m(x - x_1)$ with $(x_1,y_1)=(4,0)$ and $m = 8$. $y-0=8(x - 4)$ $y=8x-32$

Answer:

$y = 8x-32$