SOLUTION: find the line perpendicular to y=(-11/12)x+25/6

Algebra ->  Linear-equations -> SOLUTION: find the line perpendicular to y=(-11/12)x+25/6      Log On


   

Question 102037: find the line perpendicular to y=(-11/12)x+25/6
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Find the slope of the perpendicular line.
For two lines to be perpendicular, their slopes are negative reciprocals of each other.
m%5B2%5D+=+-1%2Fm%5B1%5D
Or in your case
m%5B2%5D+=+-%281%2F%28-11%2F12%29%29
m%5B2%5D+=+12%2F11
Since you didn't specify any points for the perpindicular line to pass through, you can choose the origin (0,0) as a point on the line. The slope-intercept form of the line equation is
y=m%5B2%5D%2Ax%2Bb%5B2%5D
0=%2812%2F11%29%2A0%2Bb%5B2%5D Slope is 12/11 from above and (0,0) is a point on the line.
b%5B2%5D=0 Solve for b%5B2%5D.
y=%2812%2F11%29%2Ax
Graphically :