Question

What is the distance between (-4,3) and (8,12)?

Answer 1

The formula for determining the distance between two points is expressed as

`\text{Distance = }\sqrt[]{(x2-x1)^2+(y2-y1)^2}`

From the information given,

x1 = - 4, x2 = 8

y1 = 3, y2 = 12

Therefore,

`\begin{gathered} \text{Distance = }\sqrt[]{(8--4)^2+(12-3)^2} \\ \text{Distance = }\sqrt[]{12^2+9^2} \\ \text{Distance = }\sqrt[]{225} \\ \text{Distance = 15} \end{gathered}`

The distance is 15