Question

State the distance formula, slope formula and midpoint formula. Use a set of your own coordinates to demonstrate each formula.

Answer 1

Given:

Two-point in line is:

`\begin{gathered} \text{ First point }=(x_1,y_1) \\ \\ \text{ Second point }=(x_2,y_2) \end{gathered}`

Find-:

1) Distance formula

2) Slope formula

3) Midpoint formula

Explanation-:

1)

Distance between two points is:

`\begin{gathered} \text{ First point }=(x_1,y_1) \\ \\ \text{ Second point }=(x_2,y_2) \end{gathered}`

Distance formula:

`D=√((x_2-x_1)^2+(y_2-y_1)^2)`

"D" represents distance.

Slope formula:

`m=(y_2-y_1)/(x_2-x_1)`

"m" represents the slope of the line.

Midpoint formula:

`M=((x_1+x_2)/(2),(y_1+y_2)/(2))`

"M" represents the midpoint.