Find an equation for the perpendicular bisector of the line segment whose endpoints are (-8,-3) and (2,3)

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

(

x

1

+

x

2

2

,

y

1

+

y

2

2

)

. 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  

y

2

−

y

1

x

2

−

x

1

, 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

=

m

x

+

b

.

3

=

−

1

5

(

−

5

)

+

b

⇒

3

=

1

+

b

⇒

2

=

b

Therefore, the equation of the perpendicular bisector is  

y

=

−

1

5

x

+

2

.

Step-by-step explanation:

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.