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

Algebra ->  Graphs -> 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      Log On


   

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) About Me  (Show Source):
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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