SOLUTION: 9. Find the equation of the line perpendicular to the line 2x –3y = 9 thru the point (4,6)

Algebra ->  Graphs -> SOLUTION: 9. Find the equation of the line perpendicular to the line 2x –3y = 9 thru the point (4,6)       Log On


   

Question 927135: 9. Find the equation of the line perpendicular to the line 2x –3y = 9 thru the point (4,6)

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
the standard slope-intercept form for an equation of a line is
y+=+highlight_green%28m%29x+%2B+highlight%28b%29 where m is the slope and b the y-intercept.
.....
2x-3y = 9 0r y+=+highlight_green%282%2F3%29x+-+highlight%283%29 (Green)
New perpendicular Line: m = -3/2
........
***Using point-slope form, y+-+y%5B1%5D+=+highlight_green%28m%29%28x+-+x%5B1%5D%29P(4,6)
y - 6 = (-3/2)(x - 4)
y = (-3/2)x + 12 (Blue)
0r
3x + 2y = 24