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.

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) (Show Source): You can put this solution on YOUR website!

Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .

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.

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

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