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SOLUTION: Write an equation representing a line which is perpendicular to 2x-3y=-9
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Question 625708
:
Write an equation representing a line which is perpendicular to 2x-3y=-9
Answer by
solver91311(20879)
(
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):
You can
put this solution on YOUR website!
Step 1: Compute the slope of the given line. Since both variables are on the same side of the equals sign, divide the opposite of the coefficient on
by the coefficient on
.
Step 2: Perpendicular lines have negative reciprocal slopes. Take the negative reciprocal of the slope you just calculated to determine the slope of the desired line.
Use the slope-intercept form of an equation of a line,
. Replace the slope,
, with the number you calculated in step 2.
If you want a single example of an equation of a line perpendicular to the given line, pick a value for
and substitute it. Otherwise, leave
as it is and you will have a representation of the family of equations of ALL lines perpendicular to the graph of the given equation.
John
My calculator said it, I believe it, that settles it