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Mathematics, 16.11.2020 21:50 alisonlebron15
Louetta is showing her friend that the slope of a line represented by an equation in standard form, Ax+By=C, can be found using a shortcut that involves the values of A and B. To do this, she rewrites −4x−y=28 in slope-intercept form.
Her work follows:
Step 1: −y=28+4x
Step 2: y=−4x−28
Step 3: The slope is −4, which is the same as −(AB).
At which step, if any, did Louetta make a mistake?
A. She made a mistake in Step 1 when she added 4x to both sides. She should have instead added y to both sides to isolate x and get −4x=28+y.
B. She did not make a mistake
C. She made a mistake in Step 2 when she divided by −1. She should have divided 28 by −1 to get the equation y=4x−28, which has a slope of 4.
D. She made a mistake in Step 3 when she interpreted the result. The slope of −4 means that the slope of a standard-form equation is −A.
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