AP Calculus ABmediummcq1 pt

A slope field (direction field) for dy/dx = x would show:

A.Horizontal line segments everywhere

B.Line segments whose slopes increase as x increases

C.Line segments whose slopes are constant for each y-value

D.All line segments pointing up

Explanation

Core Concept

Since dy/dx = x, the slope of each line segment depends only on the x-coordinate. As x increases from negative to positive, slopes go from negative (steep down) to zero (horizontal at x=0) to positive (steep up).

Correct Answer

BLine segments whose slopes increase as x increases

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