# How do you find the distance between the points (0,2) and (3,0) on a graph and what is the midpoint of the segment that joins them?

##### 1 Answer

Aug 14, 2017

#### Explanation:

#"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)|)))#

#(x_1,y_1)=(0,2)" and " (x_2,y_2)=(3,0)#

#d=sqrt((3-0)^2+(0-2)^2)=sqrt(9+4)=sqrt13#

#"the midpoint of the segment is the average of the x"#

#"and y coordinates of the endpoints"#

#"midpoint "=[1/2(0+3),1/2(2+0)]=(3/2,1)#