SAT Math Multiple Choice Practice Question 59: Answer and Explanation

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Question: 59


If a line were drawn connecting f(3) and f(-2), the slope of this line would be

A. positive
B. negative
C. zero
D. not a real number
E. It cannot be determined from the graph alone.

Correct Answer: A


A. The first step in answering this problem is drawing the line in question:

After you draw the line, don't jump the gun and start calculating the slope. Doing so is a waste of time because the question doesn't ask for the slope. All you have to do is look at the graph to determine that the slope is positive and then mark Choice (A).

To figure out what kind of slope a line has, imagine an ant walking on the line from left to right. If it's going uphill, the slope is positive. If it's going downhill, the slope is negative. The ant isn't going up or down when the line is horizontal (flat), so a horizontal line has a slope of zero. And, finally, the ant could be going up or down on a vertical line, so a vertical line has no slope.

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