Section C Section C Checkpoint

Problem 1

Of the lines on the graph, line ℓ\ell has a slope of 1 and line mm has slope of 3 and line nn has a slope of 12\frac12.

Label lines ℓ\ell, mm, and nn.

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Solution
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Sample Response

Problem 2

A line can be described by the equation y−1x−3=13\frac{y-1}{x-3}=\frac13. Is the point (33,12)(33,12) on this line? Explain or show your reasoning.

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Solution
No. Sample reasoning: Since 12−133−3=1130\frac{12-1}{33-3}=\frac{11}{30} and not 13\frac13, the point (33,12)(33,12) does not make the equation true.
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Sample Response
No. Sample reasoning: Since 12−133−3=1130\frac{12-1}{33-3}=\frac{11}{30} and not 13\frac13, the point (33,12)(33,12) does not make the equation true.

Problem 3

Select all equations that describe the line.
A
$\frac{y-6}{x-7}=\frac12$
B
$\frac{y-7}{x-6}=\frac12$
C
$\frac{x-6}{y-7}=\frac12$
D
$\frac{y-3}{x-4}=\frac12$
E
$\frac{y-4}{x-3}=\frac12$
F
$\frac{x-4}{y-3}=\frac12$
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Solution
A, E
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Sample Response
A, E