ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


CAHSEE Math Videos 210 videos

CAHSEE Math 5.3 Algebra and Functions
2033 Views

CAHSEE Math: Algebra and Functions Drill 5, Problem 3. Solve the equation.

CAHSEE Math 1.1 Statistics, Data, and Probability I
406 Views

Statistics, Data, and Probability I: Drill Set 1, Problem 1. What is the mean yearly salary?

CAHSEE Math 1.2 Statistics, Data, and Probability I
198 Views

Statistics, Data, and Probability I: Drill Set 1, Problem 2. What is the median length of these writing utensils?

See All

CAHSEE Math 4.5 Algebra and Functions 239 Views


Share It!


Description:

Algebra and Functions: Drill Set 4, Problem 5. What is the slope of the line in the graph?

Language:
English Language

Transcript

00:03

And here's your shmoopy question of the day.

00:06

What is the slope of the line shown in the graph below?

00:09

Here are the potential answers...

00:12

Hit pause, try it yourself.

00:17

Do we remember that whole y = mx plus b thing? That m is slope and slope is rise over run?

00:23

Well, let's hope so.

00:25

There's a pretty easy brute force way

00:26

to figure this one out -- a new process called counting.

00:30

Start here and count over as many squares until the line intersects cleanly a solid

00:35

line above it.

00:36

And we go 3 over to the right -- and then we can rise 1.

00:40

Note that the slope goes from left to right in an upward or positive direction --

00:45

so the slope is POSITIVE.

00:47

Note also that slopes can be zero -- if they flat. Rise to run then is just 0 over

00:53

... well anything, really. 0 over anything is 0.

00:55

What if the line is vertical?

00:57

Then you have rise of... whatever... over run of... 0.

01:01

Can we ever divide by 0?

01:03

Well, not if we don't want to get an eraser to the head from our math teacher. No, we can't.

01:07

Anyway, in this case the slope, or rise over run, is 1 over 3...

01:12

...and it's answer C. Done.

01:14

It's okay to be excited that we figured this thing out. Go ahead... give a little yodel.

Related Videos

CAHSEE Math 5.3 Algebra and Functions
2033 Views

CAHSEE Math: Algebra and Functions Drill 5, Problem 3. Solve the equation.

Plotting Points in 3D
833 Views

The video will show you how to plot points in 3D using the axes of the 3D coordinate system. Make sure you're wearing your special glasses for this...

Graphing Linear Inequalities on a Coordinate Plane
6270 Views

When graphing inequalities, you graph the line, shade the corresponding side, and plug in the point. The end!

Coordinates and Distance Formula
7937 Views

One formula to rule them all, one formula to find them. One formula to bring them all, and in the darkness bind them. Or something like that. I...