SOLUTION: Write an equation of the line containing the given point and perpendicular to the given line. Express your answer in the form y=mx+b. (9.-4); 4x+7y=5
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Question 337700: Write an equation of the line containing the given point and perpendicular to the given line. Express your answer in the form y=mx+b. (9.-4); 4x+7y=5
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Step 1: Determine the slope of the graph of the given equation. You can proceed either of two ways. 1: Solve the equation for 
in terms of everything else, which is to say, put it into slope-intercept form 
. Then determine the slope by inspection of the coefficient on 
. OR 2: Divide the coefficient on by the coefficient on and then take the additive inverse of that fraction.
Step 2: Determine the negative reciprocal of the slope calculated in step 1 because:
Step 3: Use the point-slope form of an equation of a line to write your desired equation:
 )
where )
are the coordinates of the given point and 
is the calculated slope.
Step 4: Solve the derived equation for in terms of everything else to put it into slope-intercept form .
John
My calculator said it, I believe it, that settles it
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