Linear Functions — Test

Question 15 • Transition Mathematics for Seniors

Ava wrote the expression the fraction with numerator 4 minus 2 and denominator 3 minus 1 to determine the slope of a line. Which table might represent Ava’s line?

Answer

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

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

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

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

Explanation

Slope is change in y divided by change in x. The expression (4 − 2)/(3 − 1) matches the points (1, 2) and (3, 4): the y-values are 2 and 4, and the x-values are 1 and 3. Choice C shows those points in its table.

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