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

The answer is 5x + 24

Explanation:

Answer 2

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`