Find an equation for the perpendicular bisector of the line segment whose endpoints are (4,4) and (−8,8)

y=−1/5x+2

Step-by-step explanation:

First, you must find the midpoint of the segment, the formula for which is

(x1+x22,y1+y22)

. This gives (−5,3)

as the midpoint. This is the point at which the segment will be bisected.

Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula

y2−y1x2−x1

which gives us a slope of 5

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of

5 is −1/5

We now know that the perpendicular travels through the point (−5,3)

and has a slope of −1/5

Solve for the unknown b in y=mx+b

3=−1/5(−5)+b⇒3=1+b⇒2=b

Therefore, the equation of the perpendicular bisector is

y=−1/5x+2

"if it is my birthday, then it is snowing"

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all