Question

What is the equation of the line that is parallel to the line y = 3x - 4 and passes

through the point (4, -2)?
A. Y= 3x + 2
B. y= 3x - 14
O C. --}x
D. y = 3x + 14

Answer 1

B. y = 3x - 14

Explanation:

Since the line is parallel, your slope will be 3. You're given a point, so you can use point-slope form to find the equation. Point-slope form is:

y - y1 = m(x - x1) where (x1, y1) is the point that they gave you and m is the slope. So:

y - (-2) = 3(x - 4) --> Start to simplify this by changing - (-2) to +2 and distributing the 3 to (x - 4).

y + 2 = 3x - 12 --> Subtract 2 from both sides.

y = 3x - 14