CONCEPT: The question tests on the concepts of Coordinate Geometry

SOLUTION:

g(4) = –9 and g(–2) = 6
Hence the points are (4,-9) and (-2,6)
Thus slope in a two point form = (y2-y1)/(x2-x1)
= [6-(-9) ]/[-2-4]
= -5/2
Also, y=mx+c [If x=0,y=c=>c can give us the Y-intercept]
Using the values, we have

6 = -(5/2)(-2) + c
=>c=1
 Hence the y-intercept is 1