Practice Problems
Working with Linear Graphs
Topics:
On this worksheet you will practice deriving the equation of a line given two grid points, supplying a correct graph titles, using proper variables as opposed to generic 'x' and 'y', as well as interpolating and extrapolating data.
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The numerical values in this worksheet are randomly generated allowing students the opportunity to conveniently practice, and drill, common situations.
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omit
Question 1
From the graph a student chooses the following two grid points to calculate the equation of the data's trend line: (4, 5) and (13, 22). What is the trend line's numerical slope?
1.89
0.529
1.69
1.25
omit
Question 2
If the graph's title is
Length (cm) vs 1/Width (1/cm)
, then what unit should be used to measure the line's slope?
cm
cm
^{-2}
it would have no units
cm
^{2}
omit
Question 3
What is the trend line's y-axis intercept?
-2.6 cm
-28.6 cm
^{-1}
-28.6 cm
-2.6 cm
^{-1}
omit
Question 4
When writing the equation of the trend line which variable, L or 1/W, should be substituted for x?
L
it doesn't matter
1/W
omit
Question 5
Based on the trend line's equation, what is the area of a rectangle having a width of 1.077 cm?
2.03 cm
^{2}
24.6 cm
1.89 cm
^{2}
1.75 cm
The area cannot be determined
without more information
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