This Question: 1 pt The graph shows a relationship between two variables, x and

Question

This Question: 1 pt The graph shows a relationship between two variables, x and y What is the slope of the relationship at point A? The slope of the relationship at point A is >>> If the slope is negative, use a minus sign. If the slope is positive, do not use a plus sign. How does the slope of the relationship chapge as the value of x increases? O A. The slope remains constant. O B. The slope at first decreases and then increases. C. The absolute value of the slope decreases the curve gets less steep. 0 D. The absolute value of the slope increases--the curve gets steeper.

Explanation / Answer

Slope of the curve at a point can be found if we find the slope of the tangent line at that point.

Take any 2 points on the tangent line for x and y each

X1, Y1= 192,4

X2,Y2 = 112,6

Slope = (Y2-Y1)÷ (X2- X1)

=112-192/ 6-4

=-80÷2

=-40 approximate slope at pt. A

As the value of x increases ,

The absolute value of slope increases and the curve gets steeper.

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