Question

Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).

Answer 1

heelllpppp pleaseeee

Answer 2

A perpendicular bisector of a side of a triangle is a line segment that is both perpendicular to a side of a triangle and passes through its midpoint.

Answer 3

how would it be written out though ?

Answer 4

Do you know how to write the equation of a line pass through 2 given points?
Do you know how to find the midpoint of a segment?
Do you know how to write the equation of a line perpendicular with a given line?
If you say yes for all, you can solve this problem :)

Answer 5

you have to find the mid- point mid-point of (x1,y1) and (x2,y2)
x= (x1+x2)/2
y= (y1+y2)/2

Answer 6

Find the slope of the line: Slope = \(\Large \frac{y_2 - y_1}{x_2-x_1}\)
Slope 'm' of the perpendicular line will be the negative reciprocal of the above.

Find the midpoint of the line: \(\Large (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\)

So you know the slope of the perpendicular line and you know it passes through the midpoint.
The equation of the line is: \(\Large y-y_1 = m(x-x_1)\)

Answer 7

i just need a quick answer i am running out of time. thaannkksss (:

Answer 8

i know the formulas i just need to know the answer

Answer 9

Sorry. Can't give out answers. I can help you arrive at the answer but you will have to do the problem yourself.