Answer :
Given:
Two-point in line is:
[tex]\begin{gathered} \text{ First point }=(x_1,y_1) \\ \\ \text{ Second point }=(x_2,y_2) \end{gathered}[/tex]Find-:
1) Distance formula
2) Slope formula
3) Midpoint formula
Explanation-:
1)
Distance between two points is:
[tex]\begin{gathered} \text{ First point }=(x_1,y_1) \\ \\ \text{ Second point }=(x_2,y_2) \end{gathered}[/tex]Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]"D" represents distance.
Slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]"m" represents the slope of the line.
Midpoint formula:
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]"M" represents the midpoint.