Answer:
[tex]13\ units[/tex]
Step-by-step explanation:
One is asked to find the distance between two points on a coordinate plane. The easiest way to do so is to use the distance formula, this formula is the following:
[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2[/tex]
Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the points which one needs to find the distance between. In this case, these points are as follows:
[tex]k\ (-3,5)[/tex]
[tex]j\ (-8, -7)[/tex]
Substitute these points into the formula and solve for the distance between these points,
[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2[/tex]
[tex]D=\sqrt{((-3)-(-8))^2+((5)-(-7))^2[/tex]
Simplify,
[tex]D=\sqrt{((-3)-(-8))^2+((5)-(-7))^2[/tex]
[tex]D=\sqrt{(-3+8)^2+(5+7)^2[/tex]
[tex]D=\sqrt{(5)^2+(12)^2[/tex]
[tex]D=\sqrt{25+144}[/tex]
[tex]D=\sqrt{169}[/tex]
[tex]D=13[/tex]
