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Algebra / Linear equations in two variables Difficulty: Easy
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Line j is shown in the xy-plane. Line k (not shown) is parallel to line j . What is the slope of line k ?

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Explanation

The correct answer is 4 . It's given that line k is parallel to line j . It follows that the slope of line k is equal to the slope of line j . Given two points on a line in the xy-plane, x1,y1 and x2,y2, the slope of the line can be calculated as y2-y1x2-x1. In the xy-plane shown, the points 0,5 and 1,9 are on line j . It follows that the slope of line j is 9-51-0, or 4 . Since the slope of line j is equal to the slope of line k , the slope of line k is also 4 .