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Question 173947: I need help finding the slope of a line containing the point (1,-3) and perpendicular to y=-3. The worksheet says the answer is 1, but I don't understand how. The other one I am confused with is a line containing the point (-1,6) and perpendicular to x=-1. I don't know how the worksheet got y=6.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I need help finding the slope of a line containing the point (1,-3) and perpendicular to y=-3.
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Draw the line y = -3.
Plot the point (1,-3).
The slope of y = -3 is zero.
The slope of any line perpendicular to it is "undefined", not 1.
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The worksheet says the answer is 1, but I don't understand how.
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Comment: The "1" probably means the equation of the line perpendicular
to y = -3 and passing thru the point (1,-3) is x = 1.
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The other one I am confused with is a line containing the point (-1,6) and perpendicular to x=-1. I don't know how the worksheet got y=6.
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Draw the line x = -1 and plot the point (-1,6).
The equation of a line perpendicular to x = -1
passing thru the point (-1,6) must have a y-value
of 6. The line in fact passes thru all the points
where y = 6. It's equation is therefore y = 6.
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Cheers,
Stan H.
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