What is the equation of the line that is parallel to y = 2x-4 and goes through the point (1,5)? Write your answer in slope-intercept form

Answer 1

Parallel lines have the same slope, so you know the equation will be y = 2x + b. Use the point (1,5) to sub in for (x,y) to solve for b.

5 = 2(1) + b

5 = 2 + b

3 = b

So, the equation will be y = 2x + 3.