Slope of a Line — Quiz

Question 3 • Mathematics I

Which graph has a slope of 4 fifths ?

Answer

Image with description A coordinate plane displays the x-axis labeled from negative 5 to 5 in increments of 1 and the y-axis labeled from negative 5 to 5 in increments of 1. A straight line with a positive slope passes through the points 0 comma 1 and 4 comma 5. The line also passes through approximately negative 5 comma negative 4.

Image with description A coordinate plane displays the x-axis labeled from negative 5 to 5 in increments of 1 and the y-axis labeled from negative 5 to 5 in increments of 1. A straight line with a positive slope passes through the plotted points negative 2 comma 0 and 3 comma 2. The line also passes through approximately 0 comma 0.8.

Image with description A coordinate plane displays the x-axis labeled from negative 5 to 5 in increments of 1 and the y-axis labeled from negative 5 to 5 in increments of 1. A straight line with a positive slope passes through the plotted points negative 1 comma 1 and 4 comma 5. The line also passes through approximately negative 5 comma negative 2.

Image with description A coordinate plane displays the x-axis labeled from negative 5 to 5 in increments of 1 and the y-axis labeled from negative 5 to 5 in increments of 1. A straight line with a positive slope passes through the plotted points 0 comma 0 and 4 comma 5. The line also passes through approximately negative 4 comma negative 5.

Explanation

Slope is the change in y divided by the change in x. In choice C, the line passes through (−1, 1) and (4, 5), so its slope is (5 − 1) ÷ (4 − (−1)) = 4 ÷ 5 = 4/5. Therefore, choice C has the requested slope.

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