What is the approximate distance between the points (-3, -4) and (-8, 1) on a coordinate grid

Accepted Solution

Answer:[tex]D= 7.071[/tex] Step-by-step explanation:Here we are given with two coordinates and asked to determine the distance between them. Here we are going to use the distance formula, which is given as under [tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]  Where [tex] (x_1,y_1) = (-3,-4)) [/tex] [tex] (x_2,y_2) = (-8,1) [/tex]  Replacing these values in the distance formula [tex]D =\sqrt{(-8-(-3))^2+(1-(-4))^2}[/tex] [tex]D =\sqrt{(-8+3)^2+(1+4)^2}[/tex] [tex]D =\sqrt{(-5)^2+(5)^2}[/tex] [tex]D =\sqrt{25+25}[/tex] [tex]D =\sqrt{50}[/tex] [tex]D= 7.071[/tex]  Hence the Distance is 7.071 units