Question 480314
explain the steps of graphing the line 
y=3-(1/2)(x-2)
---
Simplify the form:
y = 3-(1/2)x+1
y = (-1/2)x + 4
---
Determine two points:
Let x = 0, then y = 4
Let x = 2, then y = 3
--------
Plot (0,4) and (2/3) and draw a line thru them to get:
{{{graph(400,400,-10,10,-10,10,(-1/2)x+4)}}}
=====================================================

and also graphing the inequality 
y less than -2+1/4x
---
1st Graph the boundary as a dashed line.
y = -2 + (1/4)x
Let x = 0, then y = -2
Let x = 4, then y = -1
-------------
Graph that line as a dashed line.
---
{{{graph(400,400,-10,10,-10,10,-2+(1/4)x)}}}
====================================================
2nd: Since you want y LESS Than the boundary,
shade the half-plane BELOW the boundary.
---
{{{graph(400,400,-10,10,-10,10,y < -2+(1/4)x)}}}

========================
Cheers,
Stan H.