Question

5. Given y = -1/2x + 10, determine if -2x +2y = 20 is parallel, perpendicular, or neither.

Answer 1

neither of them work

Answer 2

Neither

Explanation:

-2x+2y=20

First, you need to transfer the [-2x+2y=20] equation to slope intercept form. First, get the y variable on one side by subtracting -2x from the left side.

So then you have

2y= 2x+20

Then you divide the 2 from the y on BOTH side

y= x+10

Now compare the slope of both equations

y= -1/2x+10 (slope= -1/2)

y=x+10 (slope= 1)

Since the parallel slope to -1/2 is the same slope

Since the perpendicular slope to -1/2 is equal to 2/1 or 2,

Neither of them work