Answer:
The distance between the pair of points is 12.0 (to the nearest tenth)
Step-by-step explanation:
The distance between a pair of points in a coordinate system is found by the formula:
d =[tex]\sqrt({x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where, the points are:
[tex](x_1,y_1)\ and\ (x_2,y_2)[/tex]
From the graph,
[tex](x_1,y_1)=(-6,-2)\\(x_2,y_2)=(2,7)[/tex]
Substitute the points into the formula:
[tex]d=\sqrt{(2-(-6)^2+(7-(-2)^2} \\d=\sqrt{(2+6)^2+(7+2)^2} \\d=\sqrt{8^2+9^2} \\d=\sqrt{64+81} \\d=\sqrt{145} \\\d=12.0[/tex]
