Chapter 1.3, Problem 19PPS

To determine

To find the distance.

Answer to Problem 19PPS

Distance between points is $\sqrt{89}$ .

Explanation of Solution

Given information:

  $J(-3,4)$ and $K(2,-4)$ in graph

Formula used:

Distance between pair of points= $\sqrt{{(x_2^{}-x_1^{})}^2+{(y_2^{}-y_1^{})}^2}$

Calculation:

Let

  $x_1^{}=-3,x_2^{}=2$ and,

  $y_1^{}=4,y_2^{}=-4$

Substituting values,

  $JK=$$\sqrt{{(2-(-3))}^2+{(-4-4)}^2}$

Solving,

  $JK=\sqrt{{(2+3)}^2+{(-8)}^2}$

So,

  $JK=$$\sqrt{5^2+64}$

And $JK=\sqrt{25+64}$

Hence, distance between points is $\sqrt{89}$ .