For the following exercises, graph the pair of equations on the same axes, and state whether they are parallel, perpendicular, or neither.

3x=4y-5 and 2/3 y=x/2+8

The lines are parallel

The graph in the attached figure

Step-by-step explanation:

we have

---> equation A

-----> equation B

we know that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

step 1

Find the slope of the line A

Isolate the variable y

Adds 5 both sides

Divide by 4 both sides

The slope is

step 2

Find the slope of line B

Multiply by 6 both sides to remove the fractions

Divide by 4 both sides

Simplify

The slope is

step 3

Compare the slopes

we have

so

therefore

The lines are parallel

see the attached figure to better understand the problem

22 dimes and 9 nickels

step-by-step explanation: