Question

Darko found the distance between points A(3,-4) and B(-1,3) his work is shown below

Answer 1

In this question , Darko have to find the distance between A(3,-4) and B (-1,3) .

He uses the correct formula, which is

$d = \sqrt{ (x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}$

And on substituting the values , we will get

$d = \sqrt{ (-1-3)^2 + (3- (-4))^2 }$

And in this line, Darko did the mistake .

Answer 2

Answer:

Darko has done a mistake in step 1. which putting the values of y coordinates of A and B in the formula.

Step-by-step explanation:

Distance between the two points is calculated by the formula

d = $\sqrt{(x-x')^{2}+(y-y')^{2}}$

Since coordinates of the two points have been given as A(3, -4) and B(-1, 3).

Therefore, we can calculate the distance between these points by plugging in the values.

Distance AB = $\sqrt{(-3-1)^{2}+(3+4)^{2}}$

                     = $\sqrt{(-4)^{2}+(7)^{2}}$

                     = $\sqrt{16+49}$

                     = $\sqrt{65}$

                     = 8.06 unit

Darko has made a mistake while replacing the values in the formula in step 1.