Standard Form — Quiz

Question 7 • Mathematics 8

Which is the graph of the linear equation x minus 2 y is equal to 6 ?

Answer

Image with description A four-quadrant graph has an x-axis that goes from negative 4 to 6 by ones. The y-axis goes from negative 5 to 5 by ones. A line passes through (0 comma 3) and (6 comma 0).

Image with description A four-quadrant graph has an x-axis that goes from negative 6 to 4 by ones. The y-axis goes from negative 5 to 5 by ones. A line passes through (negative 6 comma 0) and (0 comma negative 3).

Image with description A four-quadrant graph has an x-axis that goes from negative 6 to 4 by ones. The y-axis goes from negative 5 to 5 by ones. A line passes through (0 comma negative 3) and (6 comma 0).

Explanation

Rewrite the equation x − 2y = 6 as y = x/2 − 3. This line crosses the y-axis at (0, −3), and setting y = 0 gives x = 6, so it also passes through (6, 0). Choice C describes the line through those two points.

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