Concept explainers
In Exercises 1−3, use each graph to determine
a. the x-intercept, or state that there is no x-intercept.
b. the y-intercept, or state that there is no y-intercept.
c. the line’s slope, or state that the slope is undefined.
1.
(a)
The x -intercept of the given graph.
Answer to Problem 1MCP
Solution:
The x -intercept is 4.
Explanation of Solution
Given:
The graph of the line.
Concept used:
To find the x -intercept of a given line on a graph, the point where the line is intersecting the x - axis is the x -intercept and the point where the line is intersecting the y axis is the y -intercept.
Calculation:
From the given graph, we observe that the line is intersecting x - axis at
Conclusion:
Therefore, the x -intercept of the graph is 4.
(b)
The y -intercept in the graph given below.
Answer to Problem 1MCP
Solution:
y -intercept is 2.
Explanation of Solution
Given:
The graph of the line.
Concept used:
To find the x -intercept of a given line on a graph, the point where the line is intersecting the x - axis is the x -intercept and the point where the line is intersecting the y axis is the y -intercept.
Calculation:
The line is intersecting y - axis at 2, which makes it the y -intercept.
Conclusion:
Therefore, the y -intercept of the given line is 2.
(c)
The slope of the line given in the graph.
Answer to Problem 1MCP
Solution:
The line's slope is:
Explanation of Solution
Concept used:
Follow the below process for find the slope the given line:
Pick two points on the line and determine their coordinates.
Determine rise: the difference in y -coordinates of these two points.
Determine run: the difference in x -coordinates for these two points.
Divide the difference in y -coordinates by the difference in x -coordinates (rise/run or slope).
Calculation:
For slope, consider the two points
Difference in y -coordinates for these two points
Difference in x -coordinates for these two points
Now, divide the difference in y -coordinates by the difference in x -coordinates and get,
Conclusion:
Therefore, the slope of the graph is
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Chapter 3 Solutions
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