Question

The equation of line AB is y= 5x+1 . Write an equation of a line parallel to line AB in slope intercept form that contains point (4,5)

Answer 1

Slope intercept form is:  y=mx+b

For the other line to be parallel they must have the same slope so:

y=5x+b, using the point (4,5) we can solve for the y-intercept, or "b"

5=5(4)+b

5=20+b

b=-15 so the line is:

y=5x-15