\text{Find the midpoint between }\left(1,0\right)\text{ and }\left(0,2\right) of (1,0) , (0,2)

\textrm{Midpoint}=\left(\frac{1}{2},1\right)

Question :

(1,0) , (0,2)

Find the distance

d = 5

Alternative Form

d \approx 2.236068

Evaluate

(1, 0), (0, 2)

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

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

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

d = (0 - 1)^{2} + (2 - 0)^{2}

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

d = (- 1)^{2} + (2 - 0)^{2}

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

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

Evaluate the power

d = 1 + 2^{2}

Solution

More Steps

Evaluate

1 + 2^{2}

Evaluate the power

1 + 4

Add the numbers

5

d = 5

Alternative Form

d \approx 2.236068

Show Solution

Midpoint

Find the midpoint between (1, 0) and (0, 2)

Find the other endpoint if (1, 0) is the midpoint

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

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

Evaluate

(1, 0), (0, 2)

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

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

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

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

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

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

Solution

More Steps

Evaluate

\frac{0 + 2}{2}

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

\frac{2}{2}

Reduce the numbers

\frac{1}{1}

Calculate

1

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

Show Solution

Find the slope of the line

m = - 2

Evaluate

(1, 0), (0, 2)

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{2 - 0}{0 - 1}

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

m = \frac{2}{0 - 1}

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

m = \frac{2}{- 1}

Solution

m = - 2

Show Solution

Find the equation of the line

Find the equation of the line through (1, 0) and (0, 2)

Find the equation of the line through (1, 0) and (0, 2) using the determinant

y = - 2 x + 2

Evaluate

(1, 0), (0, 2)

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{2 - 0}{0 - 1}

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

m = \frac{2}{0 - 1}

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

m = \frac{2}{- 1}

Divide the terms

m = - 2

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

y - 0 = - 2 (x - 1)

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

y = - 2 (x - 1)

Solution

More Steps

Evaluate

- 2 (x - 1)

Apply the distributive property

- 2 x - (- 2 \times 1)

Any expression multiplied by 1 remains the same

- 2 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

- 2 x + 2

y = - 2 x + 2

Show Solution

(1,0) , (0,2)

Find the distance

Midpoint

Find the slope of the line

Find the equation of the line

Frequently Asked Questions

$Find the distance between (1, 0) and (0, 2)$ of \((1,0) , (0,2)\)

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$Find the other endpoint if (1, 0) is the midpoint$ of \((1,0) , (0,2)\)

$Find the other endpoint if (0, 2) is the midpoint$ of \((1,0) , (0,2)\)

$Find the slope of the line through (1, 0) and (0, 2)$ of \((1,0) , (0,2)\)

$Find the equation of the line through (1, 0) and (0, 2)$ of \((1,0) , (0,2)\)

$Find the equation of the line through (1, 0) and (0, 2) using the determinant$ of \((1,0) , (0,2)\)

(1,0) , (0,2)

Find the distance

Midpoint

Find the slope of the line

Find the equation of the line

Frequently Asked Questions

Find the distance between (1,0) and (0,2) of \((1,0) , (0,2)\)

Find the midpoint between (1,0) and (0,2) of \((1,0) , (0,2)\)

Find the other endpoint if (1,0) is the midpoint of \((1,0) , (0,2)\)

Find the other endpoint if (0,2) is the midpoint of \((1,0) , (0,2)\)

Find the slope of the line through (1,0) and (0,2) of \((1,0) , (0,2)\)

Find the equation of the line through (1,0) and (0,2) of \((1,0) , (0,2)\)

Find the equation of the line through (1,0) and (0,2) using the determinant of \((1,0) , (0,2)\)

$Find the distance between (1, 0) and (0, 2)$ of \((1,0) , (0,2)\)

$Find the midpoint between (1, 0) and (0, 2)$ of \((1,0) , (0,2)\)

$Find the other endpoint if (1, 0) is the midpoint$ of \((1,0) , (0,2)\)

$Find the other endpoint if (0, 2) is the midpoint$ of \((1,0) , (0,2)\)

$Find the slope of the line through (1, 0) and (0, 2)$ of \((1,0) , (0,2)\)

$Find the equation of the line through (1, 0) and (0, 2)$ of \((1,0) , (0,2)\)

$Find the equation of the line through (1, 0) and (0, 2) using the determinant$ of \((1,0) , (0,2)\)