The distance between two points of coordinates (x₁, y₁) and (x₂, y₂) is calculated using the formula:
[tex]D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]The coordinates of the points are (-1,-8) and (1,-3)
[tex]x_1=-1,y_1=-8,x_2=1,y_2=-3[/tex]Substituting these points into the distance formula given above:
[tex]\begin{gathered} D\text{ = }\sqrt[]{(1-(-1))^2+(-3-(-8))^2} \\ D\text{ = }\sqrt[]{(1+1)^2+(-3+8)^2} \\ D\text{ = }\sqrt[]{2^2+5^2} \\ D\text{ = }\sqrt[]{4+25} \\ D\text{ = }\sqrt[]{29} \end{gathered}[/tex]
