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CAHSEE Math 3.5 Algebra I 205 Views


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Description:

Algebra I Drill 3 Problem 5. What is the y -intercept point of the line?

Language:
English Language

Transcript

00:03

This is how we shmoop it… we shmoop it…

00:07

The point (4, 6) lies on a line that has a slope of 2.

00:11

What is the y-intercept point of the line?

00:14

And here are the potential answers…

00:19

So… what is this question asking?

00:21

Can we… divine the line?

00:23

We start as always with our friend, y equals mx plus b…

00:27

and we just fill in whatever numbers we know.

00:29

The problem gives us m… it’s 2.

00:32

Let’s rewrite the slope to be y = 2x + b

00:36

Now we need to find b.

00:38

Let’s just plug in the x and y figures that the kind, loving people from ProblemLand have given us:

00:44

Rewrite this to be:

00:45

6 = 2 times 4 plus b

00:49

…or 6 equals 8 plus b.

00:51

So b is… negative 2.

00:53

Rewrite again as:

00:54

y = 2x minus 2

00:57

The only answer that works is B, where x is 0 and 2 times 0 is 0 so … we’re done.

01:03

Our answer is B.

01:04

As in, “Us and y = mx+b. Best buds.”

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