The slope of the line is -5/2.
<u>Step-by-step explanation</u>:
<u>step 1</u> : The line has the points (x,y) = (-1,10) , (1,2) , (3,-6) , (5,-14)
The slope of the line can be found using any two points on the line.
<u>step 2</u> : Let us take the point (x1,y1) = (-1,10) and the point (x2,y2) = (1,2)
<u>step 3</u> : Slope formula = (y2 - y1) / (x2 - x1)
= (2 - 10) / (1 + 1)
slope = -5/2
<u>step 4</u> : Find using any other two points, let (x1,y1) = (3,-6) and (5,-14)
(y2 - y1) / (x2 - x1) = (-14 + 6) / (5 - 3)
slope = -5/2