Chapter 1.3, Problem 28PPS

To determine

To find the distance.

Answer to Problem 28PPS

Distance between points is $\sqrt{37}$ .

Explanation of Solution

Given information:

  $Y(-4,9)$ and $Z(-5,3)$

Formula used:

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

Calculation:

Let

  $x_1^{}=-4,x_2^{}=-5$ and,

  $y_1^{}=9,y_2^{}=3$

Substituting values,

  $YZ=\sqrt{{(-5-(-4))}^2+{(3-9)}^2}$

Solving,

  $YZ=\sqrt{{(-5+4)}^2+{(-6)}^2}$

So,

  $YZ=\sqrt{1+36}$

And $YZ=\sqrt{37}$

Hence, distance between points is $\sqrt{37}$ .