Find the equation of the line in slope-intercept form through point (5,2) and parallel to line y=5x-1?

Question

Could someone help me with this problem?

Answer 1

y = 5x-23

(It's parallel so the slope remains the same [5], it's just the y-intercept that's changed).

Answer 2

The parallel line will have the form y=5x+b.  Since you know the line passes though (5,2), plug in 5 for x and 2 for y to figure out what b is.

2=5*5+b

2=25+b

-23=b

y=5x-23

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