SOLUTION: How would you graph 2x+y=6

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Question 12572: How would you graph 2x+y=6

Answer by AdolphousC(70) About Me  (Show Source):
You can put this solution on YOUR website!
You first need to get 2X + Y = 6 into slope intercept form which is y = mx+b


To do this you need to subtract 2X from both sides, giving you y = -2x + 6


Now you know your y intercept = 6 and slope is -2


Your y-intercept is a point on the y axis, in this case 6, so go up 6 and plot the point (0,6), your slope, -2 should always be thought of as a fraction
rise%2Frun -2 as a fraction is -2%2F1 so your rise is -2 and your run is 1


a rise of -2 means go down on the y-axis 2 units, and since you always run right, you move 1 unit along the x-axis, so you should now have a point at (1,4)


Plot this point and connect your two points, thus creating a graph, it should look like the one below


+graph%28300%2C200%2C-3%2C+10%2C+-3%2C+10%2C+-2x%2B6%29