Exploring Slope — Quiz

Question 9 • Mathematics 8

The data in which table represents a linear function that has a slope of zero?

Answer

Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 5' Row 3: Column 1, '2'; Column 2, 'negative 4' Row 4: Column 1, '3'; Column 2, 'negative 3' Row 5: Column 1, '4'; Column 2, 'negative 2' Row 6: Column 1, '5'; Column 2, 'negative 1'

Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 5'; Column 2, '5' Row 3: Column 1, 'negative 4'; Column 2, '4' Row 4: Column 1, 'negative 3'; Column 2, '3' Row 5: Column 1, 'negative 2'; Column 2, '2' Row 6: Column 1, 'negative 1'; Column 2, '1'

Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 5'; Column 2, '5' Row 3: Column 1, 'negative 4'; Column 2, '5' Row 4: Column 1, 'negative 3'; Column 2, '5' Row 5: Column 1, 'negative 2'; Column 2, '5' Row 6: Column 1, 'negative 1'; Column 2, '5'

Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '5'; Column 2, 'negative 5' Row 3: Column 1, '5'; Column 2, 'negative 4' Row 4: Column 1, '5'; Column 2, 'negative 3' Row 5: Column 1, '5'; Column 2, 'negative 2' Row 6: Column 1, '5'; Column 2, 'negative 1'

Explanation

A slope of zero means the y-value stays constant as x changes. In choice C, every x-value has y = 5, so the change in y is 0 and the slope is 0. The other tables do not have constant y-values (and D does not represent y as a function of x).

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