Graphing in a Variety of Contexts — Quiz

Question 3 • Mathematics 8

A line is defined by the equation 2 x plus y is equal to 4 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 2) and (2 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 2 comma 0) and (0 comma 4).

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 0) and (0 comma 1).

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 (2 comma 0) and (0 comma 4).

Explanation

Set x = 0 in 2x + y = 4 to find the y-intercept: y = 4, so the line passes through (0, 4). Set y = 0 to find the x-intercept: 2x = 4, so x = 2, giving (2, 0). Choice D shows a line through both points.

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