Ndicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).

A line that is perpendicular to another line has a slope that is the opposite reciprocal of the slope of the line it is perpendicular to.

First, we need to find the slope of the line.

slope(m) = y2-y1 / x2-x1

m = -5 - 1 / 2 - 4

m = -6 / -2

m = 3 (neg / neg = pos)

Next, we need to find the y intercept.

To find the y intercept, we plug in what we know into the slope-intercept equation

y=mx+b

y=3x+b (Now we pick one of the coordinates to plug in)

1 = 3(4) + b

1= 12 + b

-12 -12

-11 = b

The y intercept is (0,-11)

The equation of the line is y=3x-11

Remember that the slope of a perpendicular line is the opposite reciprocal of the slope of the line it is perpendicular to

The slope of the perpendicular line is -1/3

The equation of the perpendicular line is

y=-1/3x-11

it happens during combustion and impacts the environment because the plants and trees take in that and it can cause them to die.