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CAHSEE Math 4.4 Algebra and Functions 390 Views


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Description:

Algebra and Functions: Drill Set 4, Problem 4. Which of the following is the graph of the expression?

Language:
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Transcript

00:03

And here's a shmoop du jour for you and your brain.

00:07

Which of the following is the graph of y = negative two-thirds x?

00:11

Here are the potential answers...

00:14

Hit pause. Try them yourself.

00:19

So we're looking at an equation of a graph.

00:21

Do we recognize what form it's in?

00:24

Well, slope-intercept form is y = mx + b...and our equation sort of looks like that...

00:30

...where m is negative 2/3 and b is 0. Check. Great, so remember what m tells us?

00:37

It tells us the slope of the line, or rise over run.

00:40

A negative slope tells us that the graph's y values decrease as x increases...

00:52

...so we know that our answer must either be B or D.

00:56

We can rule out graphs A and C because they both have positive slopes.

01:01

Concentrating on graphs (B) and (D), a slope of -2 over 3 implies that, from one point

01:07

to another, we go down by 2, and to the right by 3.

01:12

Both graphs intersect the origin, so if we start from the origin,

01:17

we would go down 2 units and right 3 units...

01:20

...which means we should arrive at the point (3, -2), another point on the line.

01:25

Graph D doesn't include (3,-2), so the answer must be B.

01:29

There's always next year, D.

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