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.

Algebra ->  Graphs -> 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.      Log On


   

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) About Me  (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 4+x+%2B+1+y+=+4 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. 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.
graph%28+500%2C+500%2C+1-8%2C+1%2B8%2C+4-8%2C+4%2B8%2C+-4%2Ax%2B4+%29+