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PandaSurvive:
What is the equation of a line that is perpendicular to −x+3y=9 and passes through the point (−3, 2) ?
Shadow:
@PandaSurvive How do you think we should go about solving for this question?
PandaSurvive:
I got up to the part where I had -x+3y=9 in slope intercept form but i cant remember what to do after that
Shadow:
Well you are correct in your first step. In order to solve for this question, we need the slope that is perpendicular to −x+3y=9
So we put it in terms of y, or slope intercept form
\[−x+3y=9 \]
\[3y = x + 9\]
\[y = \frac{ 1 }{ 3 }x + 3\]
The slope perpendicular to y = 1/3x + 3 is -3
Shadow:
Next, does this formula look familiar?
\[y - y _{1} = m(x - x _{1})\]
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PandaSurvive:
yes
Shadow:
How do we use it?
PandaSurvive:
um
PandaSurvive:
ohhhh
PandaSurvive:
y-2= (x-(-3))
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Shadow:
Good
Shadow:
Just remember to add in our slope :)
PandaSurvive:
1/3
Shadow:
Our perpendicular slope .-.
PandaSurvive:
oh -3 x'D
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Shadow:
Haha xD
PandaSurvive:
i got y=-3x-7
Shadow:
Correct, good job )
Shadow:
lol, botched smile .-.
PandaSurvive:
thanks cx
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