Question

Find the slope of a line parallel to the line whose equation is x + 2y = -14. Fully

simplify your answer.

Answer 1

So first solve the equation given

X+2y=-14

-x -x

-----------------

2y=-x-14

---- ---------

2 2

y=- 1/2x-7

this would be your parallel line equation because y=-1/2x-7

Parallel lines have the same slope

Perpendicular lines have a negative reciprocal slope (so -2 would be positive 1/2)

Hope this helps!

Please leave a comment if I made a mistake, I will correct it!