Question bank / Two-variable data: models and scatterplots

Math · Problem-Solving and Data AnalysisEasy

The line of best fit for a scatterplot passes through the points (0,12)(0, 12) and (6,0)(6, 0). Which of the following is an equation of this line?

A

y=2x+12y = 2x + 12

B

y=−0.5x+12y = -0.5x + 12

C

y=−2x+12y = -2x + 12

D

y=12x−2y = 12x - 2

Show answer and explanation

Answer: C

The slope is 0−126−0=−2\frac{0 - 12}{6 - 0} = -2. The line passes through (0,12)(0, 12), so the yy-intercept is 1212. The equation is y=−2x+12y = -2x + 12.

Choice B uses the reciprocal of the slope, dividing the change in xx by the change in yy.

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