Module 4 Topic 2

The basics of Linear Functions

Slope means “steepness”! Slope is m in an equation.

There are 3 ways to find slope!1) m = rise/run2) m = y2-y1/x2-x1

3) y = mx+b

The first way to find the slope is by using: m=

In the graph to the right…there are 2 points listed(3,2) and (0,0).

You will start at the lower left point…and rise. How far do you rise?

Count the jumps!

Use this method when you are given a graph!

The first way to find the slope is by using: m=

For the run, you will start at the corner of the first point…and run. How far do you run?

Count the jumps!

Find the slope of the line.

Take 1 minute to try this on your own before proceeding to the next slide.

Find the slope of the line.

Find the 2 points that we will use.

Point 1 Point 2

(-2,3)

(0,-1)

(-2,3)

(0,-1)

What is the rise?

m= = =

What is the run?

4

-2

4

-2-2

Rise Over RunHallar la pendiente usando el cambio de elevación/el cambio

de desplazamiento

Click below for a video clip on Rise over Run in English & Spanish!

The second way to find the slope is by using:

12

12y

xx

ym

When given 2 points and asked to find the slope, use the above

formula.

Finding the slope of the line given 2 points.

Hallar la pendiente usando el cambio de elevación/el

cambio de desplazamiento

Click below for a video clip on Rise over Run in English & Spanish!

Take a minute to see if you can find the slope of a line passing

through (6,0) and (0,3)

12

12y

xx

ym

The third way to find the slope is by putting an equation into slope

intercept form!

What is slope intercept form?

bmxy In this equation, m is the

slope!

3

5m

Take a moment and find the slope of 52 yx

Summary1.When given a graph, one must use m = rise over run.2.When given 2 points, one must use m=y2-y1 over x2-x1.3.When given an equation, one must put the equation into slope intercept form: y = mx +b.

Now proceed to Mastery Assignments!