Concept explainers
a)
The x−intercept of the line in the graph.
To calculate the x−intercept and y−intercept from the graph:
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.
To calculate the line's slope:
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).
Given:
Line passing through the origin.
(b)
The y−intercept of the line in the graph.
To calculate the x−intercept and y−intercept from the graph:
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.
To calculate the line's slope:
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).
Given:
Line passing through the origin.
(c)
The slope of line.
To calculate the x−intercept and y−intercept from the graph:
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.
To calculate the line's slope:
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).
Given:
Line passing through the origin.
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Introductory Algebra for College Students (7th Edition)
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