5.2 Defining Slope

Lesson Essential Question: Can you calculate slope using rise over run and the formula for finding slope?

"Bellringer"

Given the equation 4x + y = 36

(8 , ?) Find y.

a) y = 3b) y = 4c) y = 5d) y = 6

What word(s) come to mind when you hear the word SLOPE?

_____________________ is the ratio of vertical rise to horizontal run.

Formula for Slope:

y2 - y1

x2 - x1

Examples

What do all of these lines have in common?

All of these lines have ___________________________ slope.

What do all of these lines have in common?

All of these lines have ___________________________ slope.

Bellringer

Find the slope of a line containing the points ( -1 , 7 ) and (8 , -3)

a.) - 9b.) -10 / 9c.) -9 / 10d.) - 10

The line below has...

a.) positive slopeb.) undefined slopec.) zero sloped.) negative slope

1.)Plot the point (1,2)

2.)Graph a line with a slope of 3/4 from that point.

Horizontal Lines

Step 1.) Draw a horizontal line on the graph below

Step 2.) Pick any two points on the line

Step 3.) Calculate the slope from those two points

What is the slope of a horizontal line?

Vertical Lines

Step 1.) Draw a vertical line on the graph below

Step 2.) Pick any two points on the line

Step 3.) Calculate the slope from those two points

What is the slope of a vertical line?