SOLUTION: 2x + 3y = -6

Question 1209415: 2x + 3y = -6

Found 2 solutions by timofer, math_tutor2020:
Answer by timofer(104) (Show Source): You can put this solution on YOUR website!
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You can identify a point and a slope and from these make the graph.
Answer by math_tutor2020(3816) (Show Source): You can put this solution on YOUR website!

Please provide all instructions that go along with the equation.

I'll assume you want to graph this. If so, then we can replace x with 0 to find y.
2x + 3y = -6
2*0 + 3y = -6
3y = -6
y = -6/3
y = -2
Therefore (x,y) = (0,-2) is a point on this line. It's the y intercept.

Now let's plug in y = 0 to find x.
2x + 3y = -6
2x + 3*0 = -6
2x = -6
x = -6/2
x = -3
The x intercept is located at (-3,0)

Plot (0,-2) and (-3,0) on the same xy grid. Draw a straight line through the two points. Extend the line as far as possible in both directions.

Desmos and GeoGebra are two graphing tools I recommend.

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If you wanted to solve for y to get into slope-intercept form, then,
2x+3y = -6
3y = -2x-6
y = (-2x-6)/3
y = (-2x)/3 - 6/3
y = (-2/3)x - 2

It fits the y = mx+b template
m = -2/3 = slope
b = -2 = y intercept

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