Find the equation of the line. The perpendicular bisector to the line segment with endpoints (-8,5) and (4,1).
The equation of the line is
y =

y = 3x + 9

Step-by-step explanation:

The perpendicular bisector to the line segment is passing through the midpoint of the line segment. Coordinates of midpoint are ( , )

Formula of slope is m =

Slopes of perpendicular lines are opposite reciprocals. So, if AB ⊥ CD , then × = - 1

y - = m ( x - )  

~~~~~~~~~~~

(- 8, 5)

(4, 1)

m = ( 5 - 1) / ( - 8 - 4) = -

Opposite reciprocal to ( - ) is 3

Coordinates of midpoint are ( - 2 , 3 )

y - 3 = 3 ( x + 2 )

y = 3x + 9  

its definatley   this on your answer choice?

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it