SOLUTION: Plotting at least 3 points, graph and label the equation: 2x+3y=-6

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Question 123918This question is from textbook College Algebra
: Plotting at least 3 points, graph and label the equation: 2x+3y=-6
 This question is from textbook College Algebra

Found 2 solutions by checkley71, Fombitz:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
2X+3Y=-6
3Y=-2X-6
Y=-2X/3-6/3
Y=-2X/3-2
NOW SET X=0 & SOLVE FOR Y:
Y=-2*0/3-2
Y=-2 OR THE POINT (0,-2)
NOW SET Y=0 & SOLVE FOR X:
0=-2X/3-2
-2X/3=2
-2X=6
X=6/-2
X=-3 OR THE POINT(-3,0)
NOW SET X=3 & SOLVE FOR Y FOR THE THIRD POINT
Y=-2*3/3-2
Y=-2-2
Y=-4 OR THE POINT(3,-4)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-2x%2F3+-2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -2x/3 -2).

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The first two points I would pick are the x and y intercepts.
For x=0,
2x%2B3y=-6
2%280%29%2B3y=-6
3y=-6
y=-2
First point : (0,-2)
For y=0,
2x%2B3y=-6
2x%2B3%280%29=-6
2x=-6
x=-3
Second point : (-3,0)
for the third point, let x=1,
2%281%29%2B3y=-6
2%2B3y=-6
3y=-8
y=-8%2F3
Third point : (1,-8/3)
First step, plot the three points.

Next step, draw the straight line connecting the three points.