Question

Find the distance of the following lines using the distance formula.Solve question 2

Answer 1

The end points of the line are (-5,1) and (4,0).

The formula for the distance between two points (x_1,y_1) and (x_2,y_2) is,

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

Susbtitute the values in the formula to obtain the distance of the line.

`\begin{gathered} d=\sqrt[]{(4-(-5))^2+(0-1)^2} \\ =\sqrt[]{(4+5)^2+(-1)^2} \\ =\sqrt[]{(9)^2+(-1)^2} \\ =\sqrt[]{81+1} \\ =\sqrt[]{82} \end{gathered}`

So distance of the line is,

`\sqrt[]{82}`