Question

Consider the line 8x+6y=−5 . What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line?

Answer 1

Can you tell me the slope of 8x+6y=-5?

Answer 2

If you need help doing that, try rearranging the equation so you have y=mx+b
This is called slope-intercept form
because it tells us the slope, m
and
the y-intercept (0,b)

Answer 3

So once you have it in y=mx+b form
you know any perpendicular line will have slope -1/m
and any parallel line will have slope m