You can put this solution on YOUR website! y=mx+b [Use the slope-intercept form]
2X+3Y=6 [Solve for y]
3y=-2x+6
3y/3=-2x/3+6/3
y=-2/3x+2
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y=the value for y
m=the slope
x=the corrresponding value of x
b=the y-intercept (x=0, y=b)
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Start at the y-intercept which is (0, 2). Since the slope is -2/3, move down two spaces and over to the right three spaces. Plot the point (3, 0). From this point, repeat the process.
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Return to the starting point (0,2). Since the slope is also (2/-3), move up two spaces and three spaces to the left. Plot point (-3, 4). From this point, repeat the process.
You should now be able to connect the dots to get the graph of the line.
