SOLUTION: Which equation represents a line that passes through the point (-3,4) and is perpendicular to the line y=-3x+7?

Question 586619: Which equation represents a line that passes through the point (-3,4) and is perpendicular to the line y=-3x+7?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Note that the given equation is in slope-intercept form. That means that the slope of the line represented by the given equation is available by inspection of the coefficient on

. Perpendicular lines have slopes that are negative reciprocals, i.e.

So calculate the slope of the desired line by taking the negative reciprocal of the slope of the line represented by the given equation.

Use the point-slope form of an equation of a line:

where

are the coordinates of the given point and

is the calculated slope.

Do the indicated arithmetic and simplify. Put the result in a form to match your list of answers.

John

My calculator said it, I believe it, that settles it

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