# JKL has vertices at J(2, 4), K(2, -3), and L(-6, -3). What is the approximate length of line segment JL?

##### 2 Answers

#### Answer:

#### Explanation:

To find the length of a line segment from two points, we can form a vector and find the length of the vector.

The vector from two points

So to find

We have found the vector

If

Then length of

Hence for JL:

#### Answer:

#### Explanation:

#"to calculate the length use the "color(blue)"distance formula"#

#color(red)(bar(ul(|color(white)(2/2)color(black)(d=sqrt((x_2-x_1)^2+(y_2-y_1)^2))color(white)(2/2)|)))#

where# (x_1,y_1),(x_2,y_2)" are 2 points"#

#"the 2 points are " J(2,4),L(-6,-3)#

#"let " (x_1,y_1)=(2,4),(x_2,y_2)=(-6,-3)#

#d=sqrt((-6-2)^2+(-3-4)^2)#

#color(white)(d)=sqrt(64+49)#

#color(white)(d)=sqrt113larrcolor(red)" exact value"#

#color(white)(d)~~10.63" to 2 decimal places"#