SOLUTION: find the slope-intercept equation of the line with the following properties: Perpendicular to the line x-4y=7; containing the point (3,4)

Algebra ->  Rational-functions -> SOLUTION: find the slope-intercept equation of the line with the following properties: Perpendicular to the line x-4y=7; containing the point (3,4)      Log On


   

Question 622708: find the slope-intercept equation of the line with the following properties: Perpendicular to the line x-4y=7; containing the point (3,4)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Line Perpendicular to x - 4y = 7  or y+=+%281%2F4%29x+-+7%2F4and passing thru (3,4)

General format for an Equation of a Line is:  y+=+highlight%28m%29x+%2B+b

New Line: m+=+%28-4%29 slope is the negative recprocal of m+=1%2F4

 y = -4x + b    | Using Pt(3,4) to solve for b

 4+=+-4%2A3+%2B+b

 4 = -12 + b

 16 = b 

 y = -4x + 16