Question

In calculating slope using two different points, which one of the following statements is false?(A)You get the same slope regardless of which of the two points you choose as the first point.(B)When the two points have the same y value, the slope is zero (unless the two points have the same x value as well).(C)When the two points have the same x value, the slope is undefined.(D)Slope is a real number with value zero or greater.

Answer 1

(D)Slope is a real number with value zero or greater.

Explanation:

In order to answer the question, we illustrate using two chosen points.

• Let the two points: (0,6) and (1,3).

Next, calculate the slope of the line joining the two points.

`\text{Slope},m=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}}=(3-6)/(1-0)=-(3)/(1)=-3`

From the example above, the slope of the line is negative.

Therefore, the statement that the "slope is a real number with a value of zero or greater" is False.