Question

How do you find the value of a given the points (8,-2), (5,a) with a distance of 3?

Answer 1

`a=-2`

Explanation:

distance d between two points `(x_1,y_1) and (x_2,y_2)` is given by : `d = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)`
substitute the values in this formula :
`9 = (5-8)^2 + (a+2)^2`
`a=-2`