Asked by Vhukhudo Mukhudwane on May 28, 2024
Verified
If the slope of a straight line is -3. and if Y (the variable on the vertical axis) decreases by 6, then X (the variable on the horizontal axis) will
A) increase by 2.
B) decrease by 2.
C) increase by 18.
D) decrease by 18.
Variable on the Vertical Axis
In a graph, the variable that is represented on the vertical (y) axis, which is typically the dependent variable in an analysis.
Variable on the Horizontal Axis
Represents independent variables in graphical representations, typically plotted along the x-axis.
Slope
In mathematics, it refers to the measure of the steepness, incline, or grade of a line, often calculated as the ratio of the vertical change to the horizontal change between two points on the line.
- Understand the concept and calculation of the slope in economic models.
Verified Answer
HT
Haakan ThorsgardMay 31, 2024
Final Answer :
A
Explanation :
The slope of a line is defined as the change in Y divided by the change in X. Given a slope of -3, if Y decreases by 6 (a change of -6), to maintain the slope of -3, X must increase by 2. This is because slope = change in Y / change in X = -6 / 2 = -3.
Learning Objectives
- Understand the concept and calculation of the slope in economic models.