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

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) (Show Source): You can put this solution on YOUR website!
explain the steps of graphing the line
y=3-(1/2)(x-2)
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Simplify the form:
y = 3-(1/2)x+1
y = (-1/2)x + 4
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Determine two points:
Let x = 0, then y = 4
Let x = 2, then y = 3
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Plot (0,4) and (2/3) and draw a line thru them to get:

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and also graphing the inequality
y less than -2+1/4x
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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
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Graph that line as a dashed line.
---

====================================================
2nd: Since you want y LESS Than the boundary,
shade the half-plane BELOW the boundary.
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Cheers,
Stan H.

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