Question

the y-intercept or the line 7x-4y=8

Answer 1

The answer would be y=(7/4)x-2. You just use reverse operations.

Answer 2

First, you have to convert the equation into slope-intercept form. (A.K.A. get y alone on one side of the equation)

7x - 4y = 8
-7x        -7x

-4y = -7x + 8
----    ----------
-4          -4

y = -7/4x - 2

Now we can plug in 0 for x.

-7/4 * 0 is 0
0 - 2 is -2

The y-intercept is -2.