Question: What does the term \'slope\' in a linear equation represent?
Options:
The steepness of the line.
The y-intercept of the line.
The x-intercept of the line.
The distance from the origin.
Correct Answer: The steepness of the line.
Solution:
The slope indicates how steep the line is, representing the rate of change of y with respect to x.
What does the term 'slope' in a linear equation represent?
Practice Questions
Q1
What does the term 'slope' in a linear equation represent?
The steepness of the line.
The y-intercept of the line.
The x-intercept of the line.
The distance from the origin.
Questions & Step-by-Step Solutions
What does the term 'slope' in a linear equation represent?
Step 1: Understand that a linear equation is a mathematical way to describe a straight line on a graph.
Step 2: The slope is a number that tells us how steep the line is.
Step 3: If the slope is positive, the line goes up as you move from left to right.
Step 4: If the slope is negative, the line goes down as you move from left to right.
Step 5: The slope also tells us how much 'y' changes when 'x' changes by 1 unit.
Step 6: For example, if the slope is 2, it means for every 1 unit increase in 'x', 'y' increases by 2 units.
Slope – The slope in a linear equation represents the rate of change of the dependent variable (y) with respect to the independent variable (x), indicating how steep the line is.
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