SOLUTION: How would you graph -2x+3y=6

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Question 586908: How would you graph -2x+3y=6
Answer by jerryguo41(197) About Me  (Show Source):
You can put this solution on YOUR website!
-2x%2B3y=6
Change into Slope Int form:
-2x%2B3y=6
3y=6-2x
y=2-%282%2F3%29x
y=-%282%2F3%29x%2B2
This should go nicely into any graphing calculator or you can view the following:
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation -2+x+%2B+3+y+=+6 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+--2%2F3.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 6/-2 = -3.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 6/3 = 2.
  • Slope is --2/3 = 0.666666666666667.
  • Equation in slope-intercept form: y=0.666666666666667*x+2.
graph%28+500%2C+500%2C+-3-8%2C+-3%2B8%2C+2-8%2C+2%2B8%2C+0.666666666666667%2Ax%2B2+%29+