a. Identify two points on the line and write the coordinates of the points as ordered pairs (x, y).
Formula: (x1, y1) (x2, y2)
= (0, 0), (45, 15)
b. Use the slope formula to find the slope of the line that represents the road.
M = y2 - y1/x2 - x1 = 15 - 0/45 - 0 = 15/45 = 1/3
The slope of the line is: 1/3
2. A child rolls his toy cars down a dirt hill in his backyard. Suppose the line shown in the graph below
represents the dirt hill.
a. Identify two points on the line and write the coordinates of the points as ordered pairs (x, y).
(40 ,0) (15, 60)
b. Use the slope formula to find the slope of the line that represents the hill.
M = y2 - y1/x2 - x1 = 40 - 15/0 - 60 = 25/60 = 5/12
The slope of the line is: 5/12
3. The federal government has set strict specifications for any new construction where a wheelchair
ramp is to be built. The graph of the line below represents a builder’s plan for constructing a
wheelchair ramp to the correct specifications.
a. Identify two points on the line and write the coordinates of the points as ordered pairs (x, y).
(0, 1) (20, 2)
b. Use the slope formula to find the slope of the line that represents the ramp.
M = y2 - y1/x2 - x1 = 2 - 1/20 - 0 = 1/20
The slope of the line is: 20
4. Andrew and his friends practice biking at a local community bike park. The line shown in the graph
below represents one of the biking ramps.
a. Identify two points on the line and write the coordinates of the points as ordered pairs (x, y).
Pairs: (0, 0) (20, 50)
b. Use the slope formula to find the slope of the line that represents the ramp.
Slope Equation: 50 - 0/20 - 0 = 50/20 = 5/2