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).

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)?

Answer Options

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

(C) (0,6)

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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