SOLUTION: Determine whether the graps of the equations are parallel, perpendicular, or neither 2x+3y=7 and -9x+6y=8

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Question 416839: Determine whether the graps of the equations are parallel, perpendicular, or neither 2x+3y=7 and -9x+6y=8
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Using the standard slope-intercept form for an equation of a line y = mx + b

  where m is the slope and b the y-intercept. 

 2x+3y=7   OR  y= (-2/3)x + 7/3    m = (-2/3)  

-9x+6y=8  OR  y= (9/6)x + 8/6 OR  y= (3/2)x + 8/6  m =3/2

Lines are perpendcular: (negative reciprocals, that is:  (-2/3)*3/2 = -1