Graphing in a Variety of Contexts — Quiz

Question 9 • Mathematics 8

A line passes through the points open paren negative 1 comma 10 close paren and open paren 3 comma 2 close paren Which shows the graph of this line?

Answer

Image with description A four-quadrant graph has an x-axis that goes from negative 10 to 10 by twos. The y-axis goes from negative 10 to 10 by twos. A line passes through (2 comma negative 4) and (4 comma 8).

Image with description A four-quadrant graph has an x-axis that goes from negative 10 to 10 by twos. The y-axis goes from negative 10 to 10 by twos. A line passes through (0 comma 8) and (4 comma 0).

Image with description A four-quadrant graph has an x-axis that goes from negative 10 to 10 by twos. The y-axis goes from negative 10 to 10 by twos. A line passes through (0 comma 4) and (8 comma 0).

Image with description A four-quadrant graph has an x-axis that goes from negative 10 to 10 by twos. The y-axis goes from negative 10 to 10 by twos. A line passes through (negative 4 comma 2) and (8 comma 4).

Explanation

The slope through (−1, 10) and (3, 2) is (2 − 10) ÷ (3 − (−1)) = −8 ÷ 4 = −2. Using this slope, moving from x = −1 to x = 0 lowers y from 10 to 8, so the line passes through (0, 8). It also passes through (4, 0), matching choice B.

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