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?

Answer 1

all work shown and pictured

Answer 2

4x + y - 6 = 0

Explanation:

Recall that parallel lines have the same slope. Thus, the equation of the new line has the form 4x + y - C = 0, the same as 4x + y + 1 = 0. We need only find C.

To do this, substitute 1 for x and 2 for y: 4(1) + (2) + C = 0, or

4 + 2 = -C, so that C = -6

Then the desired equation is 4x + y - 6 = 0