How do you find the slope intercept using the perpendicular bisector?

Question

This is the Homework Question:

Write the Following equations in slope intercept form. The perpindicular Bisector of the segment between (-5,3) and (12,3).

HELP PLEASE!!!

Answer 1

need slope of it and midpoint.

slope (3-3)/(12--5)=0/17=0. opposite negative would be -1/0, which means that its a vertical line.

midpoint is ((-5+12)/2,(3+3)/2), or (7/2,3)

so its a vertical line through the point (7/2, 2), which makes it

x=7/2

make it a good day

Answer 2

Find the slope of the perpendicular, which I'll call P.

We want to find the slope of this line, which we'll call M.

M = -1/P

You should be able to find the intercept from there.

Answer 3

This was answered recently in three different ways at http://answers.yahoo.com/question/index;...

Answer 4

this is a horizontal line since both ys=3

so it will be a vertical line at x=7/2

we can not write this as y=mx+b form since there is no slope

Answer 5

First find the slope of the segment that the perpendicular bisector intercepts. It is the line defined by the given points: (-5, 3) and (12, 3)

Slope of this line is:

m = (change in y)/(change in x) = rise/run = (3 - 3)/(12 - -5) = 0/17 = 0

This is a horizontal line.

Normally, you would find the negative inverse of this slope to find the slope of the perpendicular line. Since the negative inverse of  0 would be -1/0, this does not exist. We can then say, the slope of the perpendicular bisector does not exist. So, this is a VERTICAL line.

Now, we need to find the middle point of the original line. To calculate the midpoint, add the x values of the endpoints together, then divide by 2. This is the x value of the midpoint. (12 + -5)/2 = 7/2

For the y values, do the same thing: (3 + 3)/2 = 6/2 = 3

So, the intercept point is (7/2, 3) and the slope in undefined. When the slope is undefined, you use x = some value as the equation.

In this case, the value for x is 7/2 (the x value for the intercept point).

Your equation: x = 7/2

The equation for the original line segment is y = 3