The y-intercept of the line whose equation is 3x + 2y = 7

First, you need the equation standard.

2y=7-3x

Now, make it where y is alone by dividing everything by 2.

(2y=7-3x) : 2 = (y=3.5-1.5x)

So, the number that has no x or y in it is 3.5, meaning that the number 3.5 is the y-intercept.

Answer: 3.5

The y-int. is found by setting x = 0: 3 (0) + 2y = 7, or 2y = 7, or y = 7/2.

So the y-intercept is (0,7/2). You could also write "b=7/2."