Rise is the change between the y-coordinates of any two points along a line in the xy-plane.A.TrueB.False

Step 1: Break Down the Problem

To determine whether the statement "Rise is the change between the y-coordinates of any two points along a line in the xy-plane" is true or false, we need to analyze the terms involved in the context of coordinate geometry.

Step 2: Relevant Concepts

In mathematics, especially in the context of coordinate geometry:

• Rise refers to the vertical change between two points on a graph and is calculated as the difference in the y-coordinates of those two points, expressed as $\text{Rise} = y_2 - y_1$ where $(x_1, y_1)$ and $(x_2, y_2)$ are two points.

Step 3: Analysis and Detail

The statement defines rise accurately as it describes the vertical change between y-coordinates of two points on a line. For example, if we have points A(1, 2) and B(3, 5), the rise would be calculated as follows:

• Rise = $y_B - y_A = 5 - 2 = 3$.

This confirms that the definition provided in the statement is correct.

Step 4: Verify and Summarize

Since the definition of rise aligns with the concept of finding the change in y-coordinates of given points, I can confirm that the statement is indeed true.

Final Answer

A. True