Question

Find the distance between these two points(-5,3) (-2,-3)

Answer 1

Answer: The distance between the two points is √45 units

Explanations:

Let the first pont be P (-5, 3)

`x_1=-5,y_1=\text{ 3}`

Let the second point be Q (-2, -3)

`x_2=-2,y_2=\text{ -3}`

The distance between two points is given by the equation:

`\begin{gathered} PQ\text{ = }√((x_2-x_1)^2+(y_2-y_1)^2) \\ \text{Substituting the values of x}_1,y_1,x_2,y_2\text{ into the given equation } \\ PQ\text{ = }√((-2-(-5))^2+(-3-3)^2) \\ PQ\text{ = }√((-2+5)^2+(-6)^2) \\ PQ\text{ = }√((3)^2+(-6)^2) \\ PQ\text{ = }√(9+36) \\ PQ\text{ = }√(45) \end{gathered}`

The distance between the two points is √45 units