Comparing Slopes and Intercepts — Quiz

Question 8 • Initial Credit_Technical College Mathematics_2027

Which graph represents a linear function that has a slope of 0 point 5 and a y -intercept of 2 ?

Answer

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 (2 comma 3).

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 1) and (2 comma 0).

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 (2 comma 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 1) and (2 comma 2).

Explanation

A line with a y-intercept of 2 must cross the y-axis at (0, 2). Its slope from (0, 2) to (2, 3) is (3 − 2) ÷ (2 − 0) = 0.5. Therefore, the graph that passes through those points represents the required linear function: choice A.

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