Concept explainers
To select: The correct graph for the line for the given slope and y -intercept.
Answer to Problem 9CCSR
B
Explanation of Solution
Given information:
Slope of line is
Concept Used:
- Line with positive slope make an acute angle with x-axis whereas line with negative slope makes an obtuse angle with x-axis.
- y intercept is the point where the line cuts the y axis, so its x -coordinate will be 0.
From the given options, only the graphs shown in option B and C have y-intercept of −1 whereas the graph shown in option A and D have y-intercept of 1. Thus graphs shown in options A and D are incorrect.
Now, among the graphs in option B and C only the graph shown in option B makes an acute angle with the x-axis.
Hence the correct option is B.
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