SOLUTION: I need to solve the equation 4x + y > 4 then determine the half plane which I would show on the graph. I am lost at how to do this.

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Question 35420: I need to solve the equation 4x + y > 4 then determine the half plane which I would show on the graph. I am lost at how to do this.
Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!
put into y=mx+b where m is the slope and b is the y-intercept
4x + y > 4
y > -4x + 4
slope is -4
y-intercept is 4
*The answer is all numbers higher than the line*
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 4/4 = 1.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 4/1 = 4.
  • Slope is -4/1 = -4.
  • Equation in slope-intercept form: y=-4*x+4.


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