QuestionFind the slope of a line parallel and a line perpendicular to .
Studdy Solution
STEP 1
Assumptions1. We are given the equation of a line in the form , where is the slope and is the y-intercept.
. The equation of the line is .
3. The slope of a line parallel to a given line is equal to the slope of the given line.
4. The slope of a line perpendicular to a given line is the negative reciprocal of the slope of the given line.
STEP 2
First, we need to identify the slope of the given line. In the equation , the slope is represented by .
STEP 3
From the equation , we can see that the slope of the given line is .
STEP 4
The slope of a line parallel to the given line is equal to the slope of the given line. Therefore, the slope of a line parallel to is also .
STEP 5
The slope of a line perpendicular to a given line is the negative reciprocal of the slope of the given line. Therefore, to find the slope of a line perpendicular to , we need to find the negative reciprocal of .
STEP 6
The reciprocal of is .
STEP 7
The negative reciprocal of is the negative of , which is .
So, the slope of a line parallel to is and the slope of a line perpendicular to is .
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