Question

Find the slope of everyline that is perpendicular to the graph of the equation y-2/3x=2

Answer 1

Answer:

m= -3/2

Step-by-step explanation:

First, we must find the slope of the line given. We are given the equation:

y-2/3x=2

We must get this equation in slope-intercept form: y=mx+b (where m is the slope and b is the y-intercept). In order to do this, we must get y isolated.

2/3x is being subtracted from y. We want to preform the inverse, so we should add 2/3x to both sides.

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

y=2+2/3x

Rearrange the terms.

y= 2/3x+2

Now the equation is in slope intercept form. (y=mx+b). 2/3 and x are being multiplied, so we know that the slope is 2/3.

Now, we have to find the perpendicular slope. Perpendicular lines have negative reciprocal slopes.

1. Negative

m=2/3

Negate the slope.

m= -2/3

2. Reciprocal

m= -2/3

Flip the numerator (top number) and denominator (bottom number).

m= -3/2

The perpendicular slope is -3/2