Using Midpoint and Distance Formulas

To determine the distance between two points, we use the Distance Formula. The given points are

T(\text{-}3,4)

and

R(2,\text{-}4).

TR = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2 }

\left({\color{#0000FF}{\text{-}3,4}}\right)

&

\left({\color{#009600}{2,\text{-}4}}\right)

TR=\sqrt{({\color{#009600}{2}}-({\color{#0000FF}{\text{-}3}}))^2+({\color{#009600}{\text{-}4}}-{\color{#0000FF}{4}})^2}

a-(\text{-} b)=a+b

TR=\sqrt{(2+3)^2+(\text{-}4-4)^2}

AddSubTermsAdd and subtract terms

TR=\sqrt{5^2+(\text{-}8)^2}

CalcPowCalculate power

TR=\sqrt{25+64}

AddTermsAdd terms

TR=\sqrt{89}

CalcRootCalculate root

TR=9.43398\ldots

RoundDecRound to

TR\approx9.4

The distance between

T

and

R

is about

9.4

units.

Using Midpoint and Distance Formulas 1.1 - Solution