ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Graphing equations Videos 2 videos

ACT Math 2.3 Coordinate Geometry
233 Views

ACT Math: Coordinate Geometry Drill 2, Problem 3. What is the equation of the graph in the video?

ACT Math 4.5 Coordinate Geometry
200 Views

ACT Math: Coordinate Geometry Drill 4, Problem 5. What is the equation of the graph in the video?

See All

ACT Math 2.3 Coordinate Geometry 233 Views


Share It!


Description:

ACT Math: Coordinate Geometry Drill 2, Problem 3. What is the equation of the graph in the video?

Language:
English Language

Transcript

00:02

And here's an unshmoopy question you may find on an exam somewhere in life...

00:06

What is the equation of this graph?

00:08

And here are your potential answers...

00:14

Alright... remember our old friend y equals mx plus b? It's the standard form to describe a line.

00:19

And the Rosetta stone in it is m. That is, the slope.

00:23

Since we have 2 points on this line, we can get that sucker straight away.

00:28

So... remember that slope is rise over run, or y2 minus y1 over x2 minus x1.

00:33

That'll give us a slope of 3 over -1.5 or just ... -2.

00:40

Now that we know m is -2, we can plug it into our equation to get y equals -2x plus b.

00:46

Now to find b...

00:48

To do that, we can just plug in one of the points. So let's just use 0, 3.

00:52

0 is the x value and 3 is the y value.

00:55

Plug in the variables and we get:

00:57

3 equals -2 times 0 plus b.

01:02

Well, -2 times 0 is 0... so b equals 3.

01:06

And our answer is C.

Related Videos

ACT Math 3.1 Plane Geometry
2559 Views

ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?

Inequalities in Number Lines
3234 Views

ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?

ACT Math 3.1 Intermediate Algebra
1955 Views

ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.

Surface Area of Cylinders
14741 Views

Haven't you always wondered how much cardboard it takes to encase a trunk warmer for your pet elephant?

Perimeter of Irregular Shapes
4864 Views

Want to figure out the area and perimeter of irregular shapes? Break them down into regular shapes. For example, a flower can be broken down into s...