Question

What is an equation of the line that is parallel to y=3x-8 and passes through (1,8)

Answer 1

y = 3x + 5

Explanation:

Two lines which are parallel have the same gradient. This means that the parallel line must have a gradient of 3x

y = 3x + c

To figure out c you substitute in the given coordinate for the x and y values

8 = 3(1) + c

c = 5

y = 3x + 5