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  

x equals 1

step-by-step explanation:

f(4)=f(×)

x=1