Question

what is the slope of a line that is perpendicular to the line 2y-3x=8?

Answer 1

To do this you need to put it in function form.
Here's the work
2y-3x = 8

2y-3x = 8
+3x +3x
2y = 3x+8
/2. /2
y = 3/2x + 8

To find perpendicular you multiply the slope the the opposite reciprocal.

y = -2/3x + 8
Then the +8 doesn't really matter now
Slope that is perpendicular is -2/3x

Answer 2

Answer:

It would be B) -2/3

Step-by-step explanation:

We first have to convert 2y - 3x = 8 into slope-intercept form

So now it’s y = 3/2x + 4

However don’t be fooled by the 3/2x, since it’s a perpendicular equation, the slope has to be the opposite of 3/2x, therefore it’s -2/3x