Question 628875
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



obuong3@aol.com