Concept explainers
a.
To show:
Two points on the graph of
a.
Explanation of Solution
Given:
The slope of the line
Calculation:
To solve our given problem, we will find the values of y , when
We can see that the value of y is b, when
Hence proved.
b.
For points
b.
Answer to Problem 33E
The difference of the second y -coordinate and the first y -coordinate is m .
The difference of the second x -coordinate and the first x -coordinate is 1.
Explanation of Solution
Given:
The slope of the line
Calculation:
Let us find the difference of the second y -coordinate and the first y -coordinate by subtracting 1st coordinate from 2nd coordinate as:
Now we will find the difference of the second x- coordinate and the first x -coordinate by subtracting 1st coordinate from 2nd coordinate as:
Therefore, the difference of the second y -coordinate and the first y -coordinate is m and the difference of the second x -coordinate and the first x -coordinate is 1.
c.
To write:
An expression for the slope of the line
c.
Explanation of Solution
Given:
The slope of the line
Calculation:
We know that the slope of a line is rise over run. The rise is difference between the y -coordinates of two points on a line, while the run is difference between the x -coordinates of two points on a line.
Hence proved.
Chapter 8 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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