Asked by sara

line MN is perpendicular to op

If the coordinates of M,N and O are (2,4), (-5,-8) , (-6,2) respectively, find the equation for line OP
Answered by Reiny
slope of MN = (-8-4)/(-5-2) = 12/7
so slope of perpendicular = - 7/12

equation of perpendicular through (-6,2) is
y-2 = (-7/12)(x+6)

etc
Answered by drwls
The slope on line MN is (-8-4)/(-5-2) = 12/7. The slope of OP is therefore -7/12.

Find the line in y = mx = b form that has m = 7/12 and passes through O (-6,2)

2 = [(7/12)*(-6] + b
b = 2 + 3/2 = 7/2

y = (7/12)x + 7/2

Check my work
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