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

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

step-by-step explanation:

what does 'mandy have ben 780 bottle caps. ' mean?