SOLUTION: Graph the line 2x - 3y = -6

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Question 209287: Graph the line
2x - 3y = -6
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the line:
2x-3y+=+6 Solve this for y. Add 3y to both sides.
2x+=+3y%2B6 Subtract 6 from both sides.
2x-6+=+3y Finally, divide both sides by 3.
y+=+%282%2F3%29x-2
To graph a linear equation such as this. you need only two points, and these can be the x- and y-intercepts.
To get the y-intercept, set x=0 and solve for y.
y+=+%282%2F3%29%280%29-2
y+=+-2
The y-intercept is (0, -2)
To get the x-intercept, set y=0 and solve for x.
0+=+%282%2F3%29x-2 Add 2 to both sides.
2+=+%282%2F3%29x Multiply both sides by 3%2F2
3+=+x
The x-intercept is (3, 0)
Now plot these two points on your coordinate graph paper and joint the points with a straight line.
graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C%282%2F3%29x-2%29