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| PAGE: 241 | SET: Exercises | PROBLEM: 11 |
The line equation in slope-intercept form is 
, where m is the slope and b is the y-intercept.
Compare the equation with slope-intercept form and find the slope of the line.
Slope of the line 
.
Find the parallel line equation, substitute 
and in the point-slope form equation 
.
Subtract 2 from each side.
If two lines are perpendicular, the slope (
) of one line is opposite
reciprocal of the second line slope (
). It can be represented as, 
.
So, slope of the line perpendicular to given line is 
.
Substitute 
= 
and 
in the point-slope form .
Add 6 to each side.
The slope-intercept form in parallel line equation is 
.
The slope-intercept form in perpendicular line equation is .
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