Question

What is the equation of the line that is parallel to `y = 3x +6` and passes through the point (4,7)?

Answer 1

y = 3x -5

Explanation:

Since it's parallel, it will have the same slope: 3.

So you'll have y = 3x + a, and we need to find a.

Plug in the values for the point we are given:

7 = 3(4) + a

7 = 12 + a

a = -5

So there you have it: y = 3x - 5