291,032 views
32 votes
32 votes
Find the equation of the line that passes through (-2, 4) and is parallel to y=5x -3

User Aaronsstack
by
3.3k points

1 Answer

22 votes
22 votes
Answer: y = 5x + 14

If two lines are parallel, they have same slope, but different y-intercepts.
Given (-2, 4) and y = 5x - 3
We can set up the equation keeping the slope, but because the parallel line will be different than -3, we must find for b.
y = 5x+b
Plug in (-2, 4)
x = -2
y = 4

4 = 5(-2) + b
4 = -10 + b
14 = b

Rewrite:
y = 5x + 14
User J M Rossy
by
3.0k points