5
QuizMultiple Choice

Using Equations to Represent Trend Lines — Quiz

Question 5 • Mathematics 8

Which is the equation of a trend line that passes through the points open paren 3 comma 95 close paren and open paren 11 comma 12 close paren ? Round values to the nearest ten-thousandths.

Answer
A
y is equal to negative 10 point 3 7 5 x plus 126 point 1 2 5
B
y is equal to 0 point 0 9 6 x plus 10 point 9 4 4
C
y is equal to negative 0 point 0 9 6 x plus 13 point 0 5 6
D
y is equal to 10 point 3 7 5 x plus 63 point 8 7 5

Explanation

The slope through (3, 95) and (11, 12) is (12 − 95) ÷ (11 − 3) = −83 ÷ 8 = −10.375. Substituting (3, 95) into y = mx + b gives b = 95 − (−10.375 × 3) = 126.125. Rounded to the nearest ten-thousandth, the equation is y = −10.3750x + 126.1250, which is choice A.

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