Are the graph of 4x-3y=9 and y=3/4x+7 parallel, perpendicular, or neither? Explain.

Neither

Step-by-step explanation:

In this question, we have to verify if the equations are parallel, perpendicular, or neither to each other.

Turn the first equation into slope-intercept form so we can get a better understanding:

4x - 3y = 9

Subtract 4x from both sides.

-3y = -4x + 9

Divide both sides by -3.

y = 4/3x - 3

Now lets compare both lines:

y = 4/3x - 3

y = 3/4x + 7

Since the slopes have to be the same in order for the lines to be parallel, we can see that the lines are NOT parallel.

We also know that in order for the lines to be perpendicular, one has to be positive and the other has to be negative. In this case, they both are positive. This means that the lines are NOT perpendicular.

This means that our answer would be neither.

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