Asked by shakif seymour on May 01, 2024
Verified
The slope of a line that passes through the points (10, 40) and (20, 35) is
A) 12\frac { 1 } { 2 }21 .
B) −12- \frac { 1 } { 2 }−21 .
C) -2.
D) 2.
Slope
In mathematics, the measure of the steepness or inclination of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.
- Evaluate charted information and discern the consequences of dissimilar inclinations.
Verified Answer
ZK
Zybrea KnightMay 08, 2024
Final Answer :
B
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 (10, 40) and (20, 35), the slope is 35−4020−10=−510=−12\frac{35 - 40}{20 - 10} = \frac{-5}{10} = -\frac{1}{2}20−1035−40=10−5=−21 .
Learning Objectives
- Evaluate charted information and discern the consequences of dissimilar inclinations.