Concept explainers
To calculate: To describe a line that has a y-intercept but no x-intercept and then identify the slope of the line
Answer to Problem 36HP
Aline that has y-intercept but no x-intercept is parallel to x-axis. Slope of line parallel to x-axis is zero.
Explanation of Solution
Given information: Aline that has a y-intercept but no x-intercept
Formula Used:
Slope intercept form of equation of line is
Where
Calculation:
Given a line that has a y-intercept but no x-intercept
This means that line is parallel to x-axis.
Example of such lines:
To find the slope of line, rewrite the equation of line and then compare with the slope-intercept form of line
Rewriting
Now, comparing the above equation with slope intercept form of line:
Hence, slope is
Conclusion:
Hence, a line that has y-intercept but no x-intercept is parallel to x-axis. Slope of line parallel to x-axis is zero.
Chapter 8 Solutions
Pre-Algebra Student Edition
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