Warm - up

• Use 6x-y=7• Solve for y using the

x-values to the left.• Then graph the linear

equation

x y

4

2

0

-1

-3

3x-y=7

• Use• Solve for y using the

x-values to the left.• Then graph the linear

equation

x y

4 5

2 -1

0 -7

-1 -10

-3 -16

Defining Slope

• When building a roof, carpenters must figure out the pitch, or slope of the roof.

• A 1:10 pitch means that for every inch raised, the roof extends 10 inches.

3 in

30 inches

What’s the slope of the hill?

• If a hiker rises 200 feet in elevation every mile, what is the average slope of the mountain?

200 . 1

5280 . 26.4

ft ft

ft ft

Graphs have slopes.

To tell the slope of a line, we

need to know how high it rises

or sinks and how far it

moves left or right.

• Use• Solve for y using the

x-values to the left.• Then graph the linear

equation

Slope as an equation.

• How high the slope rises or sinks is called the rise.

• How far the slope moves left or right is called the run.

• IMPORTANT!

riseslope

run

1) Find two points on the line.

2) How high does it rise?

3) How far right does it run?

4) Put the numbers into a ratio, or fraction.

Let’s find the slope of this line.

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