Write a linear equation in slope-intercept form with the given information.

passes through (6,3) and (14, -5)

First find slope by finding change in y over change in x.
(-5-3)/(14-6)
-8/8
-1

Slope = -1

Now plug in slope and one set of x and y values to find b (y intercept).
3= -1(6)+b
3=-6+b
9=b

Final y= -x+9

(-14+3/2b) - (1+8/2b) = -5 -5/2b(-10+b) + (7b-5) = 8b-15(7/2b-3) - (8+6b) = -5/2b-11(5+2b) + (2b+3/2) = 4b+ 13/2

Idon't understand. what is the question?