a.
To determine the equation of the line.
a.

Answer to Problem 26E
The equation of the line is
Explanation of Solution
Given information:
Consider the line given below:
Formula used:
The slope is calculated using the formula :
The equation of the line is calculated using the formula :
Calculation :
The slope is calculated by :
The slope of the line is
The equation of the line can be calculated by :
Hence, the equation of the line is
b.
To draw the image of the line after reflection in the y-axis and determine the equation of the image.
b.

Answer to Problem 26E
The equation of the line after reflection in y-axis is
Explanation of Solution
Given information:
Consider the line below:
Graph:
The image of the above line after reflection in the y-axis is :
Formula used:
The slope is calculated using the formula :
The equation of the line is calculated using the formula :
Calculation :
The slope is calculated by :
The slope of the line is
The equation of the line can be calculated by :
Hence, the equation of the line after reflection in y-axisis
c.
To compare the slope and y-intercept of the original line related to the slope and y-intercept of the image.
c.

Answer to Problem 26E
The slope changes it’s sign from positive to negative after reflection in the y-axis.
The y-intercept does not change after reflection in y-axis.
Explanation of Solution
Given information:
The coordinates of the points on the original line are
The slope of the original line is
The equation of the line is
The coordinates of the line after reflection in the y-axis are
The slope of the line after reflection in the y-axis is
The equation of the line after reflection in y-axis is
The slope changes it’s sign from positive to negative after reflection in the y-axis.
From the equations of the line before and after reflection in the y-axis, the y-intercept,
The y-intercept does not change after reflection in y-axis.
Chapter 12 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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