SOLUTION: Write an equation of the line containing the given point and perpendicular to the given line using the formula y=mx+b form 1. (8,9) x + 7y + 4 2. (-9,7) 3x= 2y + 9 3. (5,8) 3x

Algebra ->  Linear-equations -> SOLUTION: Write an equation of the line containing the given point and perpendicular to the given line using the formula y=mx+b form 1. (8,9) x + 7y + 4 2. (-9,7) 3x= 2y + 9 3. (5,8) 3x      Log On


   

Question 320620: Write an equation of the line containing the given point and perpendicular to the given line using the formula y=mx+b form
1. (8,9) x + 7y + 4
2. (-9,7) 3x= 2y + 9
3. (5,8) 3x + y = 2
4. (6,-6) 3x + 5y = 8
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


One question per post please.

First find the slope of the given line. Since your given equations are in standard form, , the slope is equal to

Perpendicular lines have negative reciprocal slopes, that is:



So take the negative reciprocal of the slope of the given line to determine the slope of the desired line.

Armed with the slope of the desired line and the given point, use the point slope form of the equation of a line:



where is the slope of the desired line and is the given point.

Once you have substituted the given values, you can rearrange:



Where is the slope and is the -intercept.

John