Comparing Slopes and Intercepts — Quiz

Question 5 • Initial Credit_Technical College Mathematics_2027

Which table represents a linear function that has a slope of 5 and a y -intercept of 20 ?

Answer

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '0'; Column 2, 'negative 4' Row 3: Column 1, '20'; Column 2, '0' Row 4: Column 1, '40'; Column 2, '4' Row 5: Column 1, '60'; Column 2, '8'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 4'; Column 2, '0' Row 3: Column 1, '0'; Column 2, 'negative 20' Row 4: Column 1, '4'; Column 2, 'negative 40' Row 5: Column 1, '8'; Column 2, 'negative 60'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 60'; Column 2, '8' Row 3: Column 1, 'negative 40'; Column 2, '4' Row 4: Column 1, 'negative 20'; Column 2, '0' Row 5: Column 1, '0'; Column 2, 'negative 4'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 4'; Column 2, '0' Row 3: Column 1, '0'; Column 2, '20' Row 4: Column 1, '4'; Column 2, '40' Row 5: Column 1, '8'; Column 2, '60'

Explanation

A line with y-intercept 20 must have y = 20 when x = 0. In choice D, the table includes (0, 20), and as x increases by 4, y increases by 20, giving a slope of 20 ÷ 4 = 5. So choice D represents the required linear function.

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