Slope of a Line — Quiz

Question 8 • Mathematics I

Which relationship has a zero slope?

Answer

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 3'; Column 2, '2' Row 3: Column 1, 'negative 1'; Column 2, '2' Row 4: Column 1, '1'; Column 2, '2' Row 5: Column 1, '3'; Column 2, '2'

Image with description A coordinate plane with x axis and y axis labeled from negative 5 to 5. A solid vertical line is plotted parallel to the y axis, passing through x equals negative 2.

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 3'; Column 2, '3' Row 3: Column 1, 'negative 1'; Column 2, '1' Row 4: Column 1, '1'; Column 2, 'negative 1' Row 5: Column 1, '3'; Column 2, 'negative 3'

Image with description A coordinate plane with x axis and y axis, both axes labeled from negative 5 to 5. A solid straight line is plotted, passing through the origin at 0 comma 0. The line extends upward and to the right through the point 5 comma 5, and downward and to the left through the point minus 5 comma negative 5.

Explanation

A zero slope means the y-value stays the same as x changes, so the relationship is a horizontal line. In choice A, every listed point has y = 2, making the slope 0. Choice B is a vertical line, whose slope is undefined.

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