The slopes of 2 lines are in the attachment. what is the value of ‘a’ that will make the lines PARALLEL and PERPENDICULAR

a. a = -12

b. a = 27

Step-by-step explanation:

a. Two lines that are parallel have the same slope, making the slopes equal ot each other:

We can cross multiply and solve for a:

b. Two lines that are perpendicular have the negative reciprocal of each other. This means that you would flip the fraction and multiply by a negative as shown below:

This would be the slope of the other line, so we can write:

as both expressions express the slope of the same line. We can cross multiply and solve to get:

step-by-step explanation:

compare