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)

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

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