SOLUTION: How do i graph x-3y(less than or equal to)6? I try to do this by finding the x- and y-intercept but it didn't look right.

Algebra ->  Graphs -> SOLUTION: How do i graph x-3y(less than or equal to)6? I try to do this by finding the x- and y-intercept but it didn't look right.      Log On


   

Question 160392This question is from textbook Algebra 2
: How do i graph x-3y(less than or equal to)6?
I try to do this by finding the x- and y-intercept but it didn't look right. This question is from textbook Algebra 2

Answer by KnightOwlTutor(293) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 1+x+%2B+-3+y+=+6 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-1%2F-3.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 6/1 = 6.
  • 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 -1/-3 = 0.333333333333333.
  • Equation in slope-intercept form: y=0.333333333333333*x+-2.
graph%28+500%2C+500%2C+6-8%2C+6%2B8%2C+-2-8%2C+-2%2B8%2C+0.333333333333333%2Ax%2B-2+%29+

You would then shade in the region below this line for your answer!