SOLUTION: Which is the equation for the line perpendicular to y = -5/3x + 11 1/3 and containing P(�2,3)? I know I have to write an equation for a line, but I don't understand what the que

Question 670485: Which is the equation for the line perpendicular to y = -5/3x + 11 1/3 and containing P(�2,3)?
I know I have to write an equation for a line, but I don't understand what the question means by 'contained' ? How do I figure this out?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

and
point (,)
'contained' means that given point lie one a line which you are looking equation for
Remember, any two perpendicular lines are negative reciprocals of each other. So if you're given the slope of , you can find the perpendicular slope by this formula:
where is the perpendicular slope
So plug in the given slope to find the perpendicular slope:

So the perpendicular slope is

So now we know the slope of the unknown line is (its the negative reciprocal of from the line . Also since the unknown line goes through (,), we can find the equation by plugging in this info into the point-slope formula
Point-Slope Formula:
is the slope and (x[1],y[1]) is the given point

So the equation of the line that is perpendicular to and goes through (,) is .

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