Question

What is the y-intercept of 12x-4y=8
PLEASE EXPLAIN THE STEPS

Answer 1

y-intercept = -2

Explanation:

12x - 4y = 8

First, we want to put y on one side, so,

-4y = -12x + 8

Now we need to have y by itself without the -4, so,

y =
`(-12x)/(-4)` +
`(8)/(-4)`

Above the -12x and the -4 are both negative and are in a fraction, so, now we cross it out. This is because 2 negative signs make a positive.

y =
`(12x)/(4)` +
`(8)/(-4)`

Both the first and second fractions can now be simplified, so,

12 / 4 = 3 and 4 /4 = 1

8 / -4 = -2

The equation will now look like this

y = 3x - 2

The y-intercept of an equation is always at the end of the equation. In this case it is -2. This is because that is what we start with.

So, the y-intercept is -2.