Graph the set of ordered pairs (-1,5),(0,0),(2,-10),(-2,10) is this relationship a linear function

did you graph the points?

Connect them.
Does that look like a straight line?
You can be sure by finding the slope of the segment between each pair of points.
For example, the slope of the line joining the first two points is
m = (0-5)/(0+1) = -5