Question

Find the y-intercept of the line whose equation is

–2x + 2y = 4

Answer 1

`2`

Explanation:

`-2x+2y=4`

To find the y-intercept, the equation must be in the format of
`y=mx+b`, in which
`b` is representative of the y-intercept.

Start by adding
`2x` to both sides of the equation:

`2y=2x+4`

Divide both sides of the equation by the coefficient of
`y`, which is
`2`:

`y=x+2`

`b=2`

Therefore, the y-intercept of the line is 2.

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You can check your work by graphing, and identifying where your line crosses the y-axis (circled in the image).