Question

What best describes the distance between two points with coordinates (2,-3) and (-4,2)

Answer 1

Answer:

Option c (7.8) is the correct alternative.

Step-by-step explanation:

The given points are:

(x₁, y₁) = (2, -3)

(x₂, y₂) = (-4, 2)

As we know,

The distance between two points will be:

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

On substituting the values, we get

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

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

= $\sqrt{(6)^2+(5)^2}$

= $\sqrt{36+25}$

= $\sqrt{61}$

= $7.8 \ units$