Question

What is the distance between the points (-4, 2) and (1, -3) on the coordinateplane?A. 5.83 unitsB. 2.83 unitsC. 7.21 unitsD. 7.07 units

Answer 1

Given the following points:

$\left(-4,2\right)and,(1,-3)$

We will find the distance using the following formula:

$d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the given points as follows:

$d=\sqrt{(1-(-4))^2+(-3-2)^2}=\sqrt{5^2+(-5)^2}=\sqrt{50}\approx7.07$

So, the answer will be option D. 7.07 units