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.
Page Directions
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: (7, 9) and (12, 19). What is the trend line's numerical slope?
2.00
1.58
1.29
0.500
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?
it would have no units
cm
^{-2}
cm
cm
^{2}
omit
Question 3
What is the trend line's y-axis intercept?
-26.0 cm
-5.0 cm
^{-1}
-5.0 cm
-26.0 cm
^{-1}
omit
Question 4
When writing the equation of the trend line which variable, L or 1/W, should be substituted for x?
it doesn't matter
1/W
L
omit
Question 5
Based on the trend line's equation, what is the area of a rectangle having a width of 1.083 cm?
2.00 cm
^{2}
1.85 cm
The area cannot be determined
without more information
2.17 cm
^{2}
24.0 cm
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