Graphing in a Variety of Contexts — Quiz

Question 1 • Mathematics 8

A line passes through the points open paren negative 3 comma 7 close paren and open paren 6 comma 4 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 (negative 4 comma 4) and (4 comma 6).

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 (4 comma 6) and (6 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 6) and (6 comma 4).

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 10) and (6 comma 4).

Explanation

The slope through (-3, 7) and (6, 4) is (4 - 7) / (6 - (-3)) = -3 / 9 = -1/3. Using (6, 4), the line crosses the y-axis at 6, so it also passes through (0, 6). Choice C shows a line through (0, 6) and (6, 4), matching the given line.

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