SOLUTION: Graph the inequality. y < 1/2x + 2

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Question 147556This question is from textbook
: Graph the inequality.
y < 1/2x + 2 This question is from textbook

Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
This is more simple than it looks at first glance (aren't you glad?). First graph the line.
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation -1+x+%2B+2+y+=+4 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+--1%2F2.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 4/-1 = -4.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 4/2 = 2.
  • Slope is --1/2 = 0.5.
  • Equation in slope-intercept form: y=0.5*x+2.
graph%28+500%2C+500%2C+-4-8%2C+-4%2B8%2C+2-8%2C+2%2B8%2C+0.5%2Ax%2B2+%29+


Then simply erase parts of the line in order to dot it. Make sure it is dotted, because if it is not, you are saying that y is less than or equal to...not simply less than. Then, since this inequality is a less than, shade every part of the graph below the now dotted line. Then you're done! Easy, right?