Question

Find the distance between the points (a,-2) and (3a,5)

Answer 1

To find the distance between two points
`A = (A_x, A_y),\ B = (B_x, B_y)` you may use the formula

`\overline{AB} = √((A_x-B_x)^2+(A_y-B_y)^2)`

In your case, the formula becomes

`\overline{AB} = √((a-3a)^2+(-2-5)^2) = √((-2a)^2+(-7)^2) = √(4a^2+49)`