SOLUTION: what an equation of the line that contains the point (3,-1) and is perpendicular to the line whose equation is y = -3x+2

Question 332692: what an equation of the line that contains the point (3,-1) and is perpendicular to the line whose equation is y = -3x+2
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Step 1: Determine the slope of the line represented by the given equation. Since this equation is in slope-intercept form, namely

, this is a simple matter of examining the coefficient on

.

Step 2: Calculate the negative reciprocal of the slope number you determined in Step 1. This is because perpendicular lines have slopes that are negative reciprocals:

Step 3: Use the point-slope form of an equation of a line to write the desired equation:

where

are the coordinates of the given point and

is the from Step 2.

Depending on your instructor's or textbook's instructions, you may need to re-arrange your equation to put it into either slope-intercept form:

Or Standard form

John

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

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