SOLUTION: Graph the following 3x - 4y is less than or equal to 12 Thank you!

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Question 39570: Graph the following
3x - 4y is less than or equal to 12
Thank you!
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
3x+-+4y+%3C=+12
-4y+%3C=+-3x+%2B+12
y+%3E=+%283%2F4%29x+-+3
Since y is equal to the values, the line is solid. Since the y is greater than the values, you would shade above the line.
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 3+x+%2B+-4+y+=+12 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-3%2F-4.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 12/3 = 4.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 12/-4 = -3.
  • Slope is -3/-4 = 0.75.
  • Equation in slope-intercept form: y=0.75*x+-3.
graph%28+500%2C+500%2C+4-8%2C+4%2B8%2C+-3-8%2C+-3%2B8%2C+0.75%2Ax%2B-3+%29+