Slope Man Watch the slide show and see

Slope rise to ____ is the ratio of vertical ______ run horizontal _____. Slope

Remember, I can only run to the right! If I run uphill, then the

Slopeman is going uphill so the slope is positive.

Remember, I can only run to the right! If I run downhill, then the

Slopeman is going downhill so the slope is negative.

EXAMPLE 1: Find the slope of the following lines. 2 2 Run Rise 1

EXAMPLE 1: Find the slope of the following lines. 3 1 1 ve. i

EXAMPLE 1: Find the slope of the following lines. 1 2 Slope is positive.

Plot the following points on the graph and find the slope. 4 2 Slope

Example 2: Find the slope between the following points without graphing. -8 x y

Example 2: Find the slope between the following points without graphing. +6 x y

Example 2: Find the slope between the following points without graphing. x +45 y

Sometimes when you must find the slope of a line without having a picture

Example 3: Find the slope of the line containing the following points

Choose any two points on the line and find the slope of the line.

If I tried to ski on this line, how fast would I travel? zero

What would happen if I tried to ski off this vertical cliff?

I would have UNDEFINED body parts!! The slope of any vertical line is undefined.

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Slope Man Watch the slide show and see what happens to Slope Man.

Slope rise to ____ is the ratio of vertical ______ run horizontal _____. Slope = rise run = SLOPEMAN My one weakness is that I can only run to the right.

Remember, I can only run to the right! If I run uphill, then the slope of the line is positive. Rise Run Lines with a positive slope go uphill from left to right.

Slopeman is going uphill so the slope is positive.

Remember, I can only run to the right! If I run downhill, then the slope of the line is negative. Lines with a negative slope go downhill from left to right. Rise Run

Slopeman is going downhill so the slope is negative.

EXAMPLE 1: Find the slope of the following lines. 2 2 Run Rise 1 = m = e Slop ter t e l e h t We use t n e s e r p e m to r slope.

EXAMPLE 1: Find the slope of the following lines. 3 1 1 ve. i t a g e n Slope is m = -3 3

EXAMPLE 1: Find the slope of the following lines. 1 2 Slope is positive.

Plot the following points on the graph and find the slope. 4 2 Slope is positive. +2 x y 4 1 6 5 +4 +4 +2 2

Example 2: Find the slope between the following points without graphing. -8 x y 9 6 1 4 -2 -8 -2

Example 2: Find the slope between the following points without graphing. +6 x y -1 3 5 -3 -6 +6 -6

Example 2: Find the slope between the following points without graphing. x +45 y -31 29 14 -52 -81 +45 -81

Sometimes when you must find the slope of a line without having a picture of the graph, it is easier to find the slope of a line using the following formula. Slope = when the two points are Example 3: Find the slope of the line containing the following points

Example 3: Find the slope of the line containing the following points

Choose any two points on the line and find the slope of the line. x y -3 +0 -3 4 3 1 3 +0

If I tried to ski on this line, how fast would I travel? zero miles per hour The slope of any horizontal line is zero.

Choose any two points on the line and find the slope of the line. x y +0 -4 +0 -2 1 -2 -3 -4

What would happen if I tried to ski off this vertical cliff?

HELP !!

I’m falling and I can’t get up!!

I would have UNDEFINED body parts!! The slope of any vertical line is undefined.