What is the y - intercept of the graph of 3x+4y=24

6

Step-by-step explanation:

First we must get the equation in slope intercept form

y=mx+b

where m is the slope and b is the y intercept

3x+4y=24

To get this equation in slope intercept form, we have to get y by itself.

First, subtract 3x from both sides

3x-3x+4y=24-3x

4y = - 3x+24

Now, divide both sides by 4

4y/4=-3x/4+24/4

y=-3/4x+6

So the y intercept is 6

6

Step-by-step explanation:

3x+4y=24

4y=-3x+24

y=-0.75x+6

6