If the quantity of the variable on the y-axis increases by 10 when the quantity of the variable on the x-axis decreases by 2,then the slope of the curve equals
A)-5.
B)-10.
C)10.
D)2.
E)None of the above answers is correct.

Question

Quizplus · Accepted Answer

The slope of a curve represents the rate at which the dependent variable changes with respect to the independent variable. In this case, we are told that when the quantity on the x-axis (independent variable) decreases by 2, the quantity on the y-axis (dependent variable) increases by 10.

Therefore, the slope of the curve can be calculated as:

slope = change in y / change in x = 10 / (-2) = -5

Note that the negative sign is important because the y-variable is increasing while the x-variable is decreasing, so the overall change in the slope is negative.

If the Quantity of the Variable on the Y-Axis Increases