Question

# 14 iFind the distance between the points L(7,-1) and M(-2, 4). Answer in simplest exact form.The exact distance between the two points isPrevious1011 12 13 1415161718Next

Answer 1

Given:

The two points given are,

`L(7,-1),M(-2,4)`

Required:

To find the distance between two points.

Step-by-step explanation:

Let the two points given be

`\begin{gathered} (x_1,y_1)=L(7,-1) \\ (x_2,y_2)=M(-2,4) \end{gathered}`

Then the distance (D) between two points is,

`\begin{gathered} D=√(\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2) \\ \Rightarrow D=√((-2-7)^2+(4+1)^2) \\ \Rightarrow D=√((-9)^2+(5)^2) \\ \Rightarrow D=√(81+25) \\ \Rightarrow D=√(106) \\ \Rightarrow D=10.2956 \end{gathered}`

Final Answer:

The distance between two points is,

`D=10.2956`