SOLUTION: -x-3y=-9 How would this equation be graphed? What would the value of x and the value of y be?

Algebra ->  Linear-equations -> SOLUTION: -x-3y=-9 How would this equation be graphed? What would the value of x and the value of y be?      Log On


   



Question 604392: -x-3y=-9
How would this equation be graphed? What would the value of x and the value of y be?

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
-x-3y=-9 is a linear equation.
For linear equations, the graph is a straight line.
To draw them you just need to determine 2 points, plot them, and connect them with a straight line.
I try to chose points that make the calculations easy and the graph "pretty".
If I am lucky, the point with x=0 and the point with y=0 will do.
Because I do not like to mess with so many minus signs, I will first multiply both sides of -x-3y=-9 times %28-1%29 to get the equivalent equation
x%2B3y=9
With x=0, we get 0%2B3y=9 --> 3y=9 --> 3y%2F3=9%2F3 --> y=3
That gives us the point (0,3)
With y=0, we get x%2B3%2A0=9 --> x%2B0=9 --> x=9 for the point (9,0).
So we plot the points and connect them to get