Question

Write the equation of the line that is parallel to

y = 3x + 4 and passes through point (-2, 4).
y = 3x - 2
y = 3x + 8
y = 3x + 10

Answer 1

y = 3x + 10

Explanation:

Parallel lines have the same slope, so the line will have a slope of 3.

Plug in the slope and given point into y = mx + b, and solve for b:

y = mx + b

4 = 3(-2) + b

4 = -6 + b

10 = b

Plug in the slope and y intercept into y = mx + b

y = mx + b

y = 3x + 10

So, the equation of the line is y = 3x + 10