Question

Cassidy wrote the linear equation y=5x+4. Then, she wrote the equation of the line that is parallel to y=5x+4 and that passes through (8,–2). If her new equation is in the form y=5x+b, what is the value of b?

Answer 1

Since it's parallel the scale is kept and you just plug in the point in order to get the y-intercept.
$y=5x+b$
$(-2) =5 (8) + b$
$-2 =40 +b$
$b = -42$
 
So the final equation would be $y=5x-42$