Tip

You should know how to find the slope of a line given two points. The slope between two points (a, b) and (t, u) is (u−b)/(t−a).

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Sample Problem

In the xy-coordinate plane, if the slope of the line passing through the points (5, 6) and (a, b) is 0, which of the following could be the point (a, b)?

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Answer Options

(A) (-5,-6)
(B) (0,0)
(C) (0,6)
(D) (5,0)
(E) (6,5)
View Correct Answer

(C) (0,6)

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The slope between the two points (5, 6) and (a, b) is b − 6 / a − 5. For this expression to equal 0, b must equal 6. A line with a slope of 0 is a horizontal line, so a can equal any number except 5. The only answer choice with a y-coordinate of 6 is (0, 6), so this is the answer.

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