Question

How do you determine the missing coordinate P(3, 2) and Q(8,_) if slope is -1?

Answer 1

Q has coordinates (8,-3)

Explanation:

The slope between two points, P and Q is defined to be
`m= (y_Q - y_P)/(x_Q-x_P)`

Given `P=(3,2)`, `Q=(8,x)`, and `m= -1`
we have
`color(white)("XXXX")` `-1 = (x-2)/(8-3)`

`rArr` `color(white)("XXXX")` `x-2 = -5`

`rArr` `color(white)("XXXX")` `x = -3`