Graphing in a Variety of Contexts — Quiz

Question 10 • Mathematics 8

A line is defined by the equation y is equal to negative x plus 3 Which shows the graph of this line?

Answer

Image with description A four-quadrant graph has an x-axis that goes from negative 8 to 8 by twos. The y-axis goes from negative 8 to 8 by twos. A line passes through (0 comma 3) and (3 comma 0).

Image with description A four-quadrant graph has an x-axis that goes from negative 8 to 8 by twos. The y-axis goes from negative 8 to 8 by twos. A line passes through (negative 1 comma negative 4) and (2 comma 5).

Image with description A four-quadrant graph has an x-axis that goes from negative 8 to 8 by twos. The y-axis goes from negative 8 to 8 by twos. A line passes through (0 comma 3) and (negative 3 comma 0).

Explanation

In y = −x + 3, the y-intercept is 3, so the line passes through (0, 3). Setting y = 0 gives 0 = −x + 3, so x = 3 and the line also passes through (3, 0). Choice A shows a line through those two points.

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