You can put this solution on YOUR website! 1) graph the equation 3x+6y=12
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Solve for either x or y. Usually y is solved for, but I'll avoid fractions.
x = 4 - 2y
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The graph is a straight line, so you need 2 points.
Pick 2 values for y and find x.
Plot the points.
Draw a line thru them.
You can put this solution on YOUR website! Graph the equation:
3x + 6y = 12
Subtract 3x from each side of the equation
3x + 6y - 3x = 12 - 3x
Combine like terms:
3x - 3x = 0
Therefore:
6y = 12 - 3x
Divide each item by 6
6y/6 = 12/6 - 3x/6
y = 2 - 1x/2 or
y = -1x/2 + 2
Using the above we get the following coordinates:
(-4,4)
(-2,3)
(0,2)
(2,1)
(4,0)
(6,-1)
Finding the Slope:
(y2 - y1)/(x2 - x1) = (0 - 2)/(4 - 0)
0 - 2 = -2
4 - 0 = 4
Slope (m) = -2/4 = -1/2
The y-intercept = 2
The equation of the line:
y = mx + b
y = -1x/2 + 2
