How do you find the slope perpendicular to y=2x-3y=2x3?

2 Answers
Apr 14, 2018

-1/212

Explanation:

the product of the slope of the normal and the slope of the line

must be = -1 is they are perpendicular to one another

the line yy = 2xx - 3 is in the form yy = mxx + b

where m is the slope so the slope for this line is 2

then Slope of Normal * 2 = -1

slope of normal = -1/212

Apr 14, 2018

-1/212

Explanation:

Perpendicular slopes are opposite reciprocals of one another. In the equation, the slope is 22 (it's in the form y=mx+by=mx+b, where mm is the slope).

Opposites (negative version of a positive number and vice versa):

-3, 33,3

2/4, -2/424,24

13/9, -13/9139,139

Reciprocals (switch the numerator and denominator):

1/2, 212,2

13/7, 7/13137,713

-23, -1/2323,123

The opposite number of 22 is -22 and the reciprocal of -22 is 1/212.