SOLUTION: I need to graph y < 1/2X + 1 and make an xy table, I am confused...

Algebra ->  Linear-equations -> SOLUTION: I need to graph y < 1/2X + 1 and make an xy table, I am confused...      Log On


   



Question 679313: I need to graph y < 1/2X + 1 and make an xy table, I am confused...
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
y%3C%281%2F2%29x+%2B+1
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Start with intercepts
y intercept, b, is 1 : Plot (0,1)
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x intercept is where y = 0
0 = %281%2F2%29x+%2B+1
-1 = 1%2F2x
2(-1) = x
x = -2 : Plot (-2,0)
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So far the table is
x | y
0 | 1
-2 | 0
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choose any arbitary number for x and solve for y
y = %281%2F2%29x+%2B+1
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If x is 2, y = 1%2F2(2) + 1 = 1 + 1 = 2
Plot (2,2)
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If x is 4, y = 1%2F2(4) + 1 = 2+1 = 3
Plot (4,3)
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and so on
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When you draw the line, draw a DASHED line, so as to NOT include the points on the line.
Shade the area below the line since the inequality says y is <, less than.
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graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cy%3C%281%2F2%29x%2B1%29
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