\text{Find the midpoint between }\left(-2,0\right)\text{ and }\left(4,0\right) of (-2,0),(4,0)

\textrm{Midpoint}=\left(1,0\right)

Question :

(-2,0),(4,0)

Find the distance

d = 6

Evaluate

(- 2, 0), (4, 0)

Let (x_{1}, y_{1}) = (- 2, 0) and (x_{2}, y_{2}) = (4, 0)

(x_{1}, y_{1}) = (- 2, 0) (x_{2}, y_{2}) = (4, 0)

Use the distance formula d = (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}

d = (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}

Substitute x_{1} = - 2, y_{1} = 0 and x_{2} = 4, y_{2} = 0 into the equation

d = (4 - (- 2))^{2} + (0 - 0)^{2}

Subtract the terms

More Steps

Simplify

4 - (- 2)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

4 + 2

Add the numbers

6

d = 6^{2} + (0 - 0)^{2}

Subtract the terms

d = 6^{2} + 0^{2}

Calculate

d = 6^{2} + 0

Add the numbers

More Steps

Evaluate

6^{2} + 0

Removing 0 doesn't change the value,so remove it from the expression

6^{2}

Evaluate the power

36

d = 36

Solution

More Steps

Evaluate

36

Write the number in exponential form with the base of 6

6^{2}

Reduce the index of the radical and exponent with 2

6

d = 6

Show Solution

Midpoint

Find the midpoint between (- 2, 0) and (4, 0)

Find the other endpoint if (- 2, 0) is the midpoint

Find the other endpoint if (4, 0) is the midpoint

Midpoint = (1, 0)

Evaluate

(- 2, 0), (4, 0)

Let (x_{1}, y_{1}) = (- 2, 0) and (x_{2}, y_{2}) = (4, 0)

(x_{1}, y_{1}) = (- 2, 0) (x_{2}, y_{2}) = (4, 0)

Use the midpoint formula Midpoint = (\frac{x _{1} + x _{2}}{2}, \frac{y _{1} + y _{2}}{2})

Midpoint = (\frac{x _{1} + x _{2}}{2}, \frac{y _{1} + y _{2}}{2})

Substitute x_{1} = - 2, y_{1} = 0 and x_{2} = 4, y_{2} = 0 into the equation

Midpoint = (\frac{- 2 + 4}{2}, \frac{0 + 0}{2})

Calculate

More Steps

Evaluate

\frac{- 2 + 4}{2}

Add the numbers

\frac{2}{2}

Reduce the numbers

\frac{1}{1}

Calculate

1

Midpoint = (1, \frac{0 + 0}{2})

Solution

More Steps

Evaluate

\frac{0 + 0}{2}

Removing 0 doesn't change the value,so remove it from the expression

\frac{0}{2}

Divide the terms

0

Midpoint = (1, 0)

Show Solution

Find the slope of the line

m = 0

Evaluate

(- 2, 0), (4, 0)

The slope of the points (x_{1}, y_{1}) and (x_{2}, y_{2}) is m = \frac{y _{2} - y _{1}}{x _{2} - x _{1}}

m = \frac{0 - 0}{4 - ( - 2 )}

Subtract the terms

m = \frac{0}{4 - ( - 2 )}

Subtract the terms

More Steps

Simplify

4 - (- 2)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

4 + 2

Add the numbers

6

m = \frac{0}{6}

Solution

m = 0

Show Solution

Find the equation of the line

Find the equation of the line through (- 2, 0) and (4, 0)

Find the equation of the line through (- 2, 0) and (4, 0) using the determinant

y = 0

Evaluate

(- 2, 0), (4, 0)

The slope of the points (x_{1}, y_{1}) and (x_{2}, y_{2}) is m = \frac{y _{2} - y _{1}}{x _{2} - x _{1}}

m = \frac{0 - 0}{4 - ( - 2 )}

Subtract the terms

m = \frac{0}{4 - ( - 2 )}

Subtract the terms

More Steps

Simplify

4 - (- 2)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

4 + 2

Add the numbers

6

m = \frac{0}{6}

Divide the terms

m = 0

To apply the point-slope formula y - y_{1} = m (x - x_{1}),use the slope m = 0 and point (- 2, 0) as (x_{1}, y_{1})

y - 0 = 0 \times (x - (- 2))

Removing 0 doesn't change the value,so remove it from the expression

y = 0 \times (x - (- 2))

Solution

More Steps

Evaluate

0 \times (x - (- 2))

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

0 \times (x + 2)

Any expression multiplied by 0 equals 0

0

y = 0

Show Solution

(-2,0),(4,0)

Find the distance

Midpoint

Find the slope of the line

Find the equation of the line

Frequently Asked Questions

$Find the distance between (- 2, 0) and (4, 0)$ of \((-2,0),(4,0)\)

$Find the midpoint between (- 2, 0) and (4, 0)$ of \((-2,0),(4,0)\)

$Find the other endpoint if (- 2, 0) is the midpoint$ of \((-2,0),(4,0)\)

$Find the other endpoint if (4, 0) is the midpoint$ of \((-2,0),(4,0)\)

$Find the slope of the line through (- 2, 0) and (4, 0)$ of \((-2,0),(4,0)\)

$Find the equation of the line through (- 2, 0) and (4, 0)$ of \((-2,0),(4,0)\)

$Find the equation of the line through (- 2, 0) and (4, 0) using the determinant$ of \((-2,0),(4,0)\)

(-2,0),(4,0)

Find the distance

Midpoint

Find the slope of the line

Find the equation of the line

Frequently Asked Questions

Find the distance between (−2,0) and (4,0) of \((-2,0),(4,0)\)

Find the midpoint between (−2,0) and (4,0) of \((-2,0),(4,0)\)

Find the other endpoint if (−2,0) is the midpoint of \((-2,0),(4,0)\)

Find the other endpoint if (4,0) is the midpoint of \((-2,0),(4,0)\)

Find the slope of the line through (−2,0) and (4,0) of \((-2,0),(4,0)\)

Find the equation of the line through (−2,0) and (4,0) of \((-2,0),(4,0)\)

Find the equation of the line through (−2,0) and (4,0) using the determinant of \((-2,0),(4,0)\)

$Find the distance between (- 2, 0) and (4, 0)$ of \((-2,0),(4,0)\)

$Find the midpoint between (- 2, 0) and (4, 0)$ of \((-2,0),(4,0)\)

$Find the other endpoint if (- 2, 0) is the midpoint$ of \((-2,0),(4,0)\)

$Find the other endpoint if (4, 0) is the midpoint$ of \((-2,0),(4,0)\)

$Find the slope of the line through (- 2, 0) and (4, 0)$ of \((-2,0),(4,0)\)

$Find the equation of the line through (- 2, 0) and (4, 0)$ of \((-2,0),(4,0)\)

$Find the equation of the line through (- 2, 0) and (4, 0) using the determinant$ of \((-2,0),(4,0)\)