Question[a.] The equation of line is . Line is perpendicular to . What is the slop of line ?
Simplify your answer and write it as a proper fraction, improper fraction, or integer
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Reciprocals
Slope-intercept form: find the slo
Studdy Solution
STEP 1
1. The equation of line is given as .
2. Line is perpendicular to line .
3. We need to find the slope of line .
STEP 2
1. Identify the slope of line .
2. Use the property of perpendicular lines to find the slope of line .
3. Simplify the slope of line .
STEP 3
Identify the slope of line .
The equation of line is in the slope-intercept form , where is the slope. Thus, the slope of line is:
STEP 4
Use the property of perpendicular lines to find the slope of line .
The slopes of two perpendicular lines are negative reciprocals of each other. Therefore, the slope of line , denoted as , is the negative reciprocal of .
STEP 5
Calculate the negative reciprocal.
STEP 6
Simplify the slope of line .
The slope of line is already simplified as a proper fraction:
The slope of line is:
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