Question 1209415
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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.
{{{
drawing(400,400,-5,5,-5,5,
graph(400,400,-5,5,-5,5,-100,(-6-2x)/3),
circle(0,-2,0.1),circle(0,-2,0.12),circle(0,-2,0.14),
circle(-3,0,0.1),circle(-3,0,0.12),circle(-3,0,0.14)
)
}}}
<a href="https://www.desmos.com/calculator">Desmos</a> and <a href="https://www.geogebra.org/calculator">GeoGebra</a> 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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