Explore 4-1: Graphing Technology Lab Investigating Slope-Intercept Form
1. The domain contains values represented by the
independent variable, number of washers. The range
contains values represented by the dependent variable,
weight. Use the graphing calculator to create a scatter
plot using the ordered pairs (washers, weight).
For example, consider the following data set. [–1, 13.1] scl: 1 by [–4.66, 74.31] scl: 1
SOLUTION: See students’ work. Students will have a graph on the
graphing calculator.
2. Write a sentence that describes the points on the
graph.
SOLUTION: Consider the example from Exercise 1. The data is represented by a linear pattern.
3. Describe the position of the point on the graph that
represents the trial with no washers in the bag.
SOLUTION: Consider the example from Exercise 1. The point at which there are no washers is the yintercept.
4. The rate of change can be found by using the formula
for slope.
Use the Edit feature under the STAT menu to enter
the data set. Then use the STAT PLOT option to graph the
scatter plot. Specify the Xlist at L1 and the Ylist as
L2. [–1, 13.1]
1 by [–4.66,
74.31] scl: 1
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SOLUTION: See students’ work. Students will have a graph on the
Find the rate of change in the weight as more washers
are added.
SOLUTION: Consider the example data set in Exercise 1. Page 1
The point
which there
are no washers
is the yExplore
4-1: at
Graphing
Technology
Lab Investigating
Slope-Intercept
Form
For this example, the rate of change is 5.35. intercept.
4. The rate of change can be found by using the formula
for slope.
5. Explain how the rate of change is shown on the graph.
SOLUTION: Consider the example in Exercise 1.
Find the rate of change in the weight as more washers
are added.
SOLUTION: Consider the example data set in Exercise 1. The slope represents the rate of change. In this case
the slope is 5.35.
The graph shows sample data from a washer
experiment. Describe the graph for each
situation.
Choose two points, (2,10.71) and (1, 5.36).
Find the slope. Make a Conjecture
6. a bag that hangs weighs 0.8 N when empty and
increases in weight at the rate of the sample
For this example, the rate of change is 5.35. 7. a bag that has the same weight when empty as the
sample and increases in weight at a faster rate
5. Explain how the rate of change is shown on the graph.
SOLUTION: Consider the example in Exercise 1.
SOLUTION: The graph is nearly the same as the one shown. The only difference is that it will be shifted upward so that
the y-intercept is at (0, 0.8). Since the weight of the
bag is increasing at the same rate as the sample, the
graphs will have the same slope (be parallel). SOLUTION: The graph is nearly the same as the one shown. They
have the same initial weight, so the y-intercepts will be
identical. The only difference is that the rate of
change of the bag is greater, making the line steeper.
8. a bag that has the same weight when empty as the
sample and increases in weight at a slower rate
The slope represents the rate of change. In this case
the slope is 5.35.
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The graph shows sample data from a washer
experiment. Describe the graph for each
SOLUTION: The graph is nearly the same as the one shown. They
have the same initial weight, so the y-intercepts will be
identical. The only difference is that the rate of
change of the bag is less, so the graph for the bag will
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be flatter.
SOLUTION: The graph is nearly the same as the one shown. They
have the same initial weight, so the y-intercepts will be
identical.
only difference
is thatLab
the rate
of
Explore
4-1:The
Graphing
Technology
Investigating
Slope-Intercept Form
change of the bag is greater, making the line steeper.
8. a bag that has the same weight when empty as the
sample and increases in weight at a slower rate
SOLUTION: The graph is nearly the same as the one shown. They
have the same initial weight, so the y-intercepts will be
identical. The only difference is that the rate of
change of the bag is less, so the graph for the bag will
be flatter.
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