Question

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

–3

Answer 1

B. -2/3

Explanation:

We are given a equation of line:

2y-3x=8

y=

Hence, slope of this line=3/2

(since, slope of line y=mx+c is m)

Now if two lines are perpendicular with sl,opes m1 and m2 then,

m1×m2=-1

Hence, slope of line perpendicular to the l;ine 2y-3x=8 is:

B. -2/3

Answer 2

The slope of the line 2y-3x=8
2y-3x=8
-3x+2y-8=0
the slope is -(-3)/2
=3/2
When a line is perpendicular to 2y-3x=8,their product of slope=-1
The slope of the other line=-1÷3/2
=-2/3