Find an equation of the perpendicular bisector of the line segment with endpoints (1,4) & (3,10). (Can be done either distance formula or endpoints ( mid-point equation.)

Question

anonymous · Answer

is this right? y-4=3(x-1)

anonymous · Answer

Bisector = intersects in middle. Point of intersection = (2, 7)

anonymous · Answer

That is the equation for the line between 1,4 and 3,10. Right.

Now, you need the equation of the line perpendicular to it, and passes through 2,7.

anonymous · Answer

but how can I find that?

anonymous · Answer

Slope of perpendicular lines multiply to -1. So, the perpendicular line's slop will be -1/3.

anonymous · Answer

oh so u mean m=3 which turns out m=-1/3?

anonymous · Answer

m=slope..

anonymous · Answer

correct. m1 = 3. m2 = -1/3.

anonymous · Answer

gotch yaa.. so the equation for the perpendicular bisector is: y-4=-1/3(x-1)

anonymous · Answer

No. This line goes through 2,7.

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