Question

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

A. -3
B.-2/3
C.3/2
D.1/3

Answer 1

The given line has a slope of 3/2 so perpendicular slope would be opposite reciprocal to that or -2/3. B

Answer 2

B. -2/3

Explanation:

We are given a equation of line:

2y-3x=8

y=
`(3)/(2)* x+ 4`

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

`(3)/(2)* m2=-1\\\\\\m2=(-2)/(3)`

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

B. -2/3