SOLUTION: How do I graph an inequality? How do I get "Y" by its self in this problem i have to solve? 3x+4y is greater than or equal to 17. i need to find ordered pairs for it and graph it

Algebra ->  Graphs -> SOLUTION: How do I graph an inequality? How do I get "Y" by its self in this problem i have to solve? 3x+4y is greater than or equal to 17. i need to find ordered pairs for it and graph it      Log On


   

Question 37736This question is from textbook Pre-Algebra
: How do I graph an inequality? How do I get "Y" by its self in this problem i have to solve? 3x+4y is greater than or equal to 17. i need to find ordered pairs for it and graph it. if you can help me that would be great. thanks!!!
-lauryn This question is from textbook Pre-Algebra

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
3x%2B4y%3E=17
4y%3E=-3x%2B17
y%3E=%28-3%2F4%29x%2B%2817%2F4%29
Since y is greater than or equal to the values, shade above the solid line.
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 3+x+%2B+4+y+=+17 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-3%2F4.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 17/3 = 5.66666666666667.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 17/4 = 4.25.
  • Slope is -3/4 = -0.75.
  • Equation in slope-intercept form: y=-0.75*x+4.25.