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SAT Math 11.4 Geometry and Measurement 211 Views
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Description:
SAT Math 11.4 Geometry and Measurement. What is the y-intercept of a line parallel to y – 2x = 4 and passing through the point (1, 2)?
Transcript
- 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.
Full Transcript
- 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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