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Algebra / Linear equations in two variables Difficulty: Medium

A line passes through the points 4,6 and 15,24 in the xy-plane. What is the slope of the line?

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Explanation

The correct answer is 18 11 . For a line that passes through the points x1,y1 and x2,y2 in the xy-plane, the slope of the line can be calculated using the slope formula, m=y2-y1x2-x1. It's given that a line passes through the points 4,6 and 15,24 in the xy-plane. Substituting 4,6 for x1,y1 and 15,24 for x2,y2 in the slope formula, m=y2-y1x2-x1, yields m=24-615-4, or m=1811. Therefore, the slope of the line is 18 11 . Note that 18/11 and 1.636 are examples of ways to enter a correct answer.