What is the distance of (1,-3) and (4,3)?

2 Answers
Apr 19, 2018

3sqrt5

Explanation:

Distance between two point equation is:

sqrt((x_2-x_1)^2+(y_2-y_1)^2

Take (1,-3) as (x_1, y_1)
Take (4,3) as (x_2, y_2)

Substitute into equation:

sqrt((4-1)^2+(3--3)^2

Simplify to get 3sqrt5

Apr 19, 2018

sqrt45~~6.708" to 3 dec. places"

Explanation:

"using the "color(blue)"distance formula"

•color(white)(x)d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)

"let "(x_1,y_1)=(1,-3)" and "(x_2,y_2)=(4,3)

d=sqrt((4-1)^2+(3-(-3))^2)

color(white)(d)=sqrt(9+36)=sqrt45~~6.708