A line segment has endpoints at (4.-6) and (0,2). What is the slope of the given line segment?
What is the midpoint of the given line segment?
What is the slope of the perpendicular bisector of the given line segment?
What is the equation, in slope-intercept form, of the perpendicular bisector?

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m =

with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (0, 2)

m = = = - 2

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Find the midpoint using the midpoint formula

M =( , )

    = , ) = (2, - 2 )

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Given a line with slope m then the slope of a line perpendicular to it is

= - = - =

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The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = , thus

y = x + c ← is the partial equation

To find c substitute (2, - 2) into the partial equation

- 2 = 1 + c ⇒ c = - 2 - 1 = - 3

y = x - 3 ← equation of perpendicular bisector

Step-by-step explanation:

Points given: (4, -6) and (0, 2)

Slope intercept form of the line going through the given pints:

y= mx+b

y= -2x+b ⇒ -6= -2*4+b ⇒ b= 8-6= 2 ⇒ y= -2x+2

The slope of the perpendicular bisector is the negative reciprocal of the line segment which it is dividing:

Equation of perpendicular bisector:

It passes through the mid point: (2, -2), so

So the equation of perpendicular line:

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

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