<PRE><B>Question 313160</B>
Use the slope equation.


m=(y2-y1)/(x2-x1)   with x1=1/4, y1=-1/2 and x2=3/4, y2=4


m = (4-(-1/2)) / (3/4 - 1/4)

m = (9/2) / (2/4)

m = (9/2)*(4/2) 

m = 36/4

m=9


Now use y=mx+b, with y=4, x=3/4 and m = 9.  Solve for b.


y=mx+b
4 = 9(3/4) + b
4 = 27/4 + b
4 - 27/4 = b
16/4 - 27/4 = b
-11/4 = b


The equation of the line is:


y = 9x -11/4</PRE>