Asked by Felicia Rioza on Jun 13, 2024
Verified
If a line passes through the points (20,5) and (10,10), then the slope of the line is -2.
Slope
A measure of the steepness or inclination of a line, often represented as the ratio of the vertical change to the horizontal change between two points on the line.
- Comprehend the principle of slope and the methods used for its computation across various scenarios.
Verified Answer
KP
Keith PerkinsJun 14, 2024
Final Answer :
False
Explanation :
The slope of a line passing through two points (x1,y1)(x_1, y_1)(x1,y1) and (x2,y2)(x_2, y_2)(x2,y2) is given by y2−y1x2−x1\frac{y_2 - y_1}{x_2 - x_1}x2−x1y2−y1 . For the points (20,5) and (10,10), the slope is 10−510−20=5−10=−12\frac{10 - 5}{10 - 20} = \frac{5}{-10} = -\frac{1}{2}10−2010−5=−105=−21 , not -2.
Learning Objectives
- Comprehend the principle of slope and the methods used for its computation across various scenarios.