Question

On a graph, find the distance between each pair of points. (4, 5) and (2, -4)

Answer 1

Answer: √85 ≈ 9.22

To find the distance between a pair of points, we will use the distance formula which is noted by:

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

Using the given points (4, 5) and (2, -4), we know that:

x₁ = 4

x₂ = 2

y₁ = 5

y₂ = -4

Substituting these values and we will get:

`\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ d=\sqrt[]{(2_{}-4)^2+(-4-5)^2} \\ d=\sqrt[]{(-2_{})^2+(-9)^2} \\ d=\sqrt[]{4^{}+81} \\ d=\sqrt[]{85^{}}\approx9.22 \end{gathered}`

Therefore, the distance between the two given points is √85 which is about 9.22