Question

If a line passes through the points (20, 5) and (10, 10), then the slope of the line is 1/2.

a. True

b. False

Answer 1

• Final answer:
• The slope of a line passing through the points (20, 5) and (10, 10) is calculated to be -0.5, thus the statement that the slope is 1/2 is false.
• Step-by-step explanation:
• The slope of a line passing through two points can be calculated using the formula slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, the coordinates given are (20, 5) and (10, 10). Thus, the slope calculation would be as follows:
• slope = (10 - 5) / (10 - 20) = 5 / (-10) = -0.5
• Since the calculated slope is -0.5, the initial statement that the slope is 1/2 is False. The actual slope of the line is negative, indicating that it is a descending line when moving from left to right on a graph.