Question 226708
Use the intercepts to graph the equation


{{{x+3y=6}}}


Step 1.  Intercepts means one of the coordinates is zero.  The y-intercept "b" occurs when x=0 or at point (0,b) and the x-intercept "a" occurs when y=0 or at (a,0) 


Step 2.  At x=0, then x+3y=6 or -0+3y=6 or y=2 after dividing by 5 to both sides of the equation.  So we have (0,2) as one point


Step 3.  At y=0, then x+3y=6 or x+3*0=6 or x=6.  And we have another point at (6,0).


Use these two points (0,2) and (6,0) to graph as shown below:


{{{graph(400,400,-10,10,-10,10, -x/3+2)}}}



I hope the above steps and explanation were helpful. 


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Respectfully, 
Dr J


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