Key Features of Linear Functions — Quiz

Question 4 • Financial Math

Each table represents a linear function. Which linear function has a negative slope?

Answer

Table with 2 columns and 3 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '0'; Column 2, '2' Row 3: Column 1, '1'; Column 2, '4'

Table with 2 columns and 3 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '0'; Column 2, '1' Row 3: Column 1, '1'; Column 2, '0'

Table with 2 columns and 3 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '0'; Column 2, '2' Row 3: Column 1, '1'; Column 2, '3'

Table with 2 columns and 3 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '0'; Column 2, '5' Row 3: Column 1, '1'; Column 2, '5'

Explanation

Slope measures how much y changes when x increases by 1. In choice B, x goes from 0 to 1 while y goes from 1 to 0, so the slope is (0 − 1) ÷ (1 − 0) = −1. The negative value means choice B, the table where y decreases as x increases, has a negative slope.

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