Find the slope of the line that is perpendicular to 3x+4y=20

The slope would be four thirds (4/3)

Step-by-step explanation:

3x+4y=20

-3x - 3x

4y=20-3x

divide by 4 on each side to each term

y=5 - (3/4) x

you then take the opposite reciprocal the slope - 3/4 to have the perpendicular slope of 4/3

4/3

Step-by-step explanation:

First, find the slope of the given equation. To do this, solve it for 4y, and then for y:

Subtracting 3x from both sides, we get

4y = - 3x + 20, and

dividing both sides by 4 yields

y = (-3/4) x + 5. The slope of the given line is - 3/4.

The slope of any line perpendicular to this one is the negative reciprocal of - 3/4, meaning it would be + 4/3.