Comparing Slopes and Intercepts — Quiz

Question 2 • Initial Credit_Technical College Mathematics_2027

Which linear function has the greatest y -intercept?

Answer

y is equal to 6 x plus 1

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 2) and (5 comma 0).

y is equal to 3 x plus 4

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 3) and (1 comma 2).

Explanation

The y-intercept is the y-value where a line crosses the y-axis, which is the value of y when x = 0. Choice A has y-intercept 1, choice B crosses at (0, 2), choice C has y-intercept 4, and choice D crosses at (0, −3). Since 4 is the greatest of these values, the function y = 3x + 4 has the greatest y-intercept.

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