Chapter 7 7.1 Slope-Intercept Form Worksheet - Mhr Page 2
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17Place one marble in the cup. Let the cup come to rest.
2. a)
Measure and record the length of the apparatus. One at a
time, place the other marbles in the cup. After adding each
marble, measure the length of the apparatus again.
On grid paper, plot the individual data points. Plot the
b)
number of marbles along the x-axis. Using a ruler, draw a
straight line that represents the data.
Identify the independent and dependent variables.
3.
Determine the slope of the line. What are the units of the
4.
slope? What does the slope of the line represent in this
situation?
Identify the point where the line intersects the y-axis.
5. a)
What does this point represent in this situation?
Starting at this point, explain how to use the slope to
b)
determine the length of the apparatus when one, two, or
three marbles are in the cup.
Use the y-intercept and slope to determine what the length of
6.
y-intercept
the apparatus would be if ten marbles were in the cup. Does
the y-coordinate of the
•
your graph support your answer?
point where a line or
curve crosses the y-axis
Write the equation of the line in slope-intercept form .
7. a)
the value of y when
•
Let y represent the length of the apparatus, in centimetres.
x = 0
Let x represent the number of marbles in the cup.
slope-intercept form
Use the equation to estimate the length of the apparatus if
b)
the equation of a
•
the cup contains 15 marbles.
line in the form
y = mx + b, where m
Refl ect and Respond Suppose you use a cup that is 4 cm taller
8.
is the slope of the line
but has the same mass as the foam cup used.
and b is the y-intercept
How would this change the data you collected?
a)
Describe how the graph would change.
b)
Write an equation in slope-intercept form that represents
c)
this situation.
Suppose you use items that are double the mass of the
9.
marbles used.
How would this change your data?
a)
Describe how the graph would change.
b)
Represent this situation using an equation written in
c)
slope-intercept form.
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7.1 Slope-Intercept Form • MHR
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