SAT Math 11.4 Geometry and Measurement

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)?

ConstructionParallel Lines
Coordinate GeometrySlopes, Parallel and Perpendicular Lines
GeometryCoordinate Geometry
Heart of AlgebraSolving linear equations
Parallel and Perpendicular LinesParallel Lines
Product TypeSAT Math
SAT MathGeometry and Measurement

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…