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?

Respuesta :

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

Answer:

The answer is 5x + 24

Step-by-step explanation: