SOLUTION: Graph the solution of the system of linear inequalities. y≥-x+2 y≤4x+7 I would really appreciate the help.

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Question 362338: Graph the solution of the system of linear inequalities.
y≥-x+2
y≤4x+7
I would really appreciate the help.
Answer by HasanSahin(52) About Me  (Show Source):
You can put this solution on YOUR website!
First system : y=>-x+2 and
Second System : y<= 4x+7 if you want to solve these systems separately.
First think that y = -x +2 and plot this such that;
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 1+x+%2B+1+y+=+2 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-1%2F1.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 2/1 = 2.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 2/1 = 2.
  • Slope is -1/1 = -1.
  • Equation in slope-intercept form: y=-1*x+2.
graph%28+500%2C+500%2C+2-8%2C+2%2B8%2C+2-8%2C+2%2B8%2C+-1%2Ax%2B2+%29+


After then you will see that the original equation is x + y =>2 so that you have to rake the above part of the line because you want bigger and equal values rather than just 2. I hope I could explain it in here because I can not draw it..
The second system is also in same logic.. think like y = 4x + 7 and plot it such;
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation -4+x+%2B+1+y+=+7 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+--4%2F1.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 7/-4 = -1.75.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 7/1 = 7.
  • Slope is --4/1 = 4.
  • Equation in slope-intercept form: y=4*x+7.
graph%28+500%2C+500%2C+-1.75-8%2C+-1.75%2B8%2C+7-8%2C+7%2B8%2C+4%2Ax%2B7+%29+

After then you will see that the original equation is y <= 4x + 7 so that you have to rake the below part of the line because you want smaller and equal values rather than just 7.
RF.