Concept explainers
a.
To sketch: a line on a coordinate plane with given characteristics using straight edge.
a.
Explanation of Solution
Given:
Graph:
x and y intercept
Consider
x intercept no y intercept
Consider
Exactly 2 x intercepts
A straight line cannot be drawn intersecting two points of the x axis.
No x intercept y intercept
Consider
Exactly 2 y intercepts
A straight line cannot be drawn intersecting two points of the y axis.
Conclusion:
The graphs with the given characteristics are shown above.
b.
To explain: the reason for some characteristics which cannot be drawn in subpart (a)
b.
Explanation of Solution
A linear equation has only one solution for either x or y .
In case of 2 x intercept and 2 y intercept, the graph would not be a straight line. It would be a parabola.
c.
To explain: about true intercepts of a straight line
c.
Explanation of Solution
In the case of a straight line, there can be only one x or one y intercepts if it has two x or two y intercepts the graph would not be a straight line.
Chapter 3 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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