Question

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

-3
-2/8
1/3
3/2

Answer 1

None

Explanation:

Put the equation in slope-intercept form by solving for y.

2y - 3x = 8

~Add 3x to both sides

2y = 8 + 3x

~Divide 2 to everything

y = 4 + 3/2x

~Reorder

y = 3/2x + 4

Note that the slope of a perpendicular line is the opposite reciprocal of the original number.

3/2x -> -2/3x

Thus, a line perpendicular to [ y = 3/2x + 4 ] is [ y = -2/3x + 4 ]

Best of Luck!