Slope Using Right Triangles

The two given points for this diagonal up line show a vertical change of 6 units and a horizontal change of 8 units. What is the slope?

• the slope = 3/4 or 0.75

• the slope = 4/3 or 1.33

• the slope = –3/4 or –0.75

• the slope = –4/3 or –1.33

Imagine a line follows the path of the hypotenuse in a right triangle. What is the slope of a down line with a height of 4 units and a base of 12 units?

• the slope is –0.33

• the slope is –3

• the slope is –4

• the slope is –0.25

The points (–5,5) and (0,0) create a connected right triangle with a height of 5 units and a base of 5 units. What is the slope of the line?

• the slope is 1

• the slope is –1

• the slope is –5

• the slope is 5

The two end points of (0,–2) and (4,–1) create a connected right triangle with a height of 1 unit and a base of 4 units. What is the slope?

• the slope is 4

• the slope is 0.25

• the slope is –4

• the slope is –0.25

Which shows a proportion comparing the rise and run for each of the similar slope triangles, and the numeric value?

• Choice A

• Choice B

• Choice C

• Choice D

Find the slope of the line using slope triangles

• A

• B

• C

• D

Find the slope of the line using slope triangles

• A

• B

• C

• D

What is the slope ratio?

• 8/11

• x/1

• 8/x

• 11/8

Find the slope of the line using slope triangles

• A

• B

• C

• D

When given two similar triangles on the same line, they will ALWAYS have the same _______________?

• y-intercept

• x

• slope

• y