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) 10.
B) 2.
C) -5.
D) -10.
E) None of the above answers is correct.

Question

Quizplus · Accepted Answer

The slope of a curve is defined as the change in the vertical variable (y-axis) per unit change in the horizontal variable (x-axis).

Given that 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, we can say that:

Slope = Change in y / Change in x

Slope = 10 / (-2) [Note: Decrease in x-axis is represented as -2]

Slope = -5

Therefore, the slope of the curve is -5, and the correct choice is C.

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