SOLUTION: how do i find this, in my book it says "write an equation of the line containing the given point and perpendicular to the given line" number 20 says (-3,-5);5x-2y=4 And i canno

Algebra ->  Rational-functions -> SOLUTION: how do i find this, in my book it says "write an equation of the line containing the given point and perpendicular to the given line" number 20 says (-3,-5);5x-2y=4 And i canno      Log On


   

Question 367889: how do i find this, in my book it says "write an equation of the line containing the given point and perpendicular to the given line"
number 20 says (-3,-5);5x-2y=4
And i cannot figure out how to solve this problem. thank you for your help
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Step 1: With respect to your given equation, divide the negative of the coefficient on by the coefficient on . The result is the slope of the graph of the given equation.

Step 2: Calculate the negative reciprocal of the slope from step 1. This is the slope of the desired line. That is because the slopes of perpendicular lines are negative reciprocals, that is:



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



where are the coordinates of the given point and is the slope calculated in step 2.

John

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