Question

Determine if the following pairs of lines are parallel, perpendicular, or neither.

x+y = -3
x+y = 5

Answer 1

They are parallel. When moving the x to the other side on both equations, you get the following:

y= -x - 3
y= -x + 5

Since both of these linear equations have the same slope but a different y-intercept, they are parallel, meaning they will go on forever without intersecting. A line would be perpendicular if the slope is opposite reciprocal to the other equation.

Hope this helps!