1. Think About the Process
a. Write the expression for the slope of a line using any two points.
A. fraction horizontalchange , over verticalchange end fraction
B. fraction verticalchange , over horizontalchange end fraction
C. vertical change × horizontal change
D. vertical change − horizontal change
b. Find the slope of the line shown.
2. Find the slope of the line.
3. Think About the Process
a. Find the expression that will correctly find the slope of a line that goes through the points (−5, 3) and (5, 7).
A. fraction 3 minus 7 , over 5 minus open negative 5 close end fraction
B. fraction 7 minus 3 , over negative 5 minus 5 end fraction
C. fraction 3 minus . open , negative 5 , close , over 7 minus 5 end fraction
D. fraction 7 minus 3 , over 5 minus . open , negative 5 , close end fraction
b. Find the slope of the line.
4. Find the slope of the line through the points (−2, 3) and (1,−3).
5. Line 1 passes through the points (−2,−7) and (3,3). Line 2 passes through the points (5,1) and (9,1).
a. Find the slope of each line.
b. Which line has the greater slope?
6. A contractor is roofing a house. The contractor considers a roof to be steep when the roof rises 7 in. or more for every 12 in. it runs. The following graph is a model of how steep the roof is. Does the contractor believe the roof is steep? What is the slope of the roof?
a. No, the contractor does not believe the roof is steep because the slope of the roof is .
b. Yes, the contractor believes the roof is steep because the slope of the roof is .
7. The science teacher is showing students a model rocket. The teacher says for the rocket to be shot correctly the fraction rise , over run end fraction should be from fraction 11in , . , over 4in , . end fraction up to straight up (vertical) before the launch. The graph shows the slope of the rocket before the launch.
a. Find the slope at which the rocket is being shot.
b. Will the rocket be shot correctly?