ShmoopTube

00:02

Here’s your shmoop du jour, brought to you by the y-intercept.

00:07

A close friend of the who-what-and-where-intercepts.

00:11

What is the y-intercept of a line parallel to y – 2x = 4 and passing through the point (1, 2)?

00:20

It’s time once again to unleash our inner Michelangelos.

00:24

Uh, yeah. More the artist, less the ninja turtle.

00:28

So here’s our graph… and we want to figure out where a particular line is.

00:34

Well, we’re given the equation y – 2x = 4… but we need to get that thing into standard form.

00:39

y has to be all by its lonesome, here on the left… let’s add 2x to both sides.

00:46

y = 2x + 4. That's standard form.

00:51

If we plug in 0 for y… then x would work out to be -2. So let’s put a point at (-2,0).

01:00

If we plug in 0 for x… we get y equals 4. So… another point at (0,4).

01:09

And…here’s our line. Looks like for every one unit we move to the right,

01:16

we move up 2 units…

01:18

…so our slope is 2.

01:21

If we draw a parallel line that passes through (1,2)…

01:24

…then it will cross the y-intercept… at zero.

01:28

Problem solved!

01:40

Eh, no. We were thinking maybe just a champagne toast…

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