Which function is described by values in the table? x y 1 8 3 6 5 4 7 2 a) y= -2x + 10 b) y= -2x + 9 c) y= -x + 9 d) y= -x + 10

One way to approach this problem is to go ahead and find the actual equation in slope-intercept form.

The slope of the line thru (3,6) and (5,4) is m = (6-4) / (3-5), or -2/2, or -1.

Subbing the known values of m, x and y, we get:

4 = -(5) + b. Then b = 9.

The correct equation (representing the data values in the table) is y = -x + 9.