Question

What is the equation of the line that passes through (1,2) and is parallel to the line whose equation is 4x+y+1=0?

A.4x-y-6=0
B.4x+y-6=0
C.4x+y+6=0

Answer 1

B

Explanation:

Parallel lines have the same slope. This means it shares the same slope as 4x + y + 1 = 0. Convert to slope intercept form to find that slope.

4x + y + 1 = 0

y = -4x - 1

Substitute m = -4 and (1,2) into the point slope form to find the equation. Then convert to the general form of the line.

`y - y_1 = m(x-x_1)\\y - 2 = -4(x-1)\\y - 2 = -4x + 4\\4x + y -6 = 0`