Comparing Slopes and Intercepts — Quiz

Question 4 • Initial Credit_Technical College Mathematics_2027

Which linear function has the steepest slope?

Answer

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '3'; Column 2, '10' Row 3: Column 1, '6'; Column 2, '13' Row 4: Column 1, '9'; Column 2, '16' Row 5: Column 1, '12'; Column 2, '19'

Image with description A four-quadrant graph has an x-axis that goes from negative 5 to 5 by ones. The y-axis goes from negative 5 to 5 by ones. A line passes through (0 comma negative 2) and (1 comma 0).

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '2'; Column 2, 'negative 4' Row 3: Column 1, '4'; Column 2, 'negative 12' Row 4: Column 1, '6'; Column 2, 'negative 20' Row 5: Column 1, '8'; Column 2, 'negative 28'

Image with description A four-quadrant graph has an x-axis that goes from negative 5 to 5 by ones. The y-axis goes from negative 5 to 5 by ones. A line passes through (negative 1 comma 4) and (0 comma 1).

Explanation

Compare the steepness of the lines by comparing the absolute values of their slopes. Choice A has slope 1, B has slope (0 − (−2))/(1 − 0) = 2, and D has slope (1 − 4)/(0 − (−1)) = −3. In choice C, y decreases by 8 whenever x increases by 2, so its slope is −8/2 = −4. Since |−4| is the greatest, the table in choice C has the steepest slope.

AI-written and checked against the verified answer.