SOLUTION: hellos i would like to know if you can explain the steps of graphing the line y=3-1/2(x-2) and also graphing the inequality y less than -2+1/4x tnx you very much

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: hellos i would like to know if you can explain the steps of graphing the line y=3-1/2(x-2) and also graphing the inequality y less than -2+1/4x tnx you very much      Log On


   

Question 480314: hellos i would like to know if you can explain the steps of graphing the line y=3-1/2(x-2)

and also graphing the inequality y less than -2+1/4x
tnx you very much
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28-1%2F2%29x%2B4%29
=====================================================
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%28400%2C400%2C-10%2C10%2C-10%2C10%2C-2%2B%281%2F4%29x%29
====================================================
2nd: Since you want y LESS Than the boundary,
shade the half-plane BELOW the boundary.
---
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cy+%3C+-2%2B%281%2F4%29x%29
========================
Cheers,
Stan H.