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## where would you graph this equation; 2x +3y + 6 = 0

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# 2 Answers

Hi again Sister Serena;

2x +3y + 6 = 0

I would prefer this equation to be in the format of...

y=mx+b

m=slope, the change in y, also known as rise, divided by the change in x, also known as run.

b=y-intercept, the value of y when x=0.

2x +3y + 6 = 0

Let's subtract (2x+6) from both sides...

-(2x+6)+2x+3y+6=0-(2x+6)

3y=-2x-6

Let's divide both sides by 3...

(3y)/3=(-2x-6)/3

y=(-2/3)x-2

The slope is -2/3 and the y-intercept is -2.

According to protocol, the slope is represented as -2/3 in that the negative sign is before the numerator. However, the field of mathematics has a problem. The negative sign should be before the 3, 2/-3, This is because as the line rises positively
2 units, it runs negatively to the left 3 units.

Draw your line beginning with (0,-2), then rise 2 and move to the left 3 to find the next point.

If you find the coordinate of 2 points on a line and connect then extend, you will have the graph of the line.

The easiest of 2 points are intercepts.

2X + 3 y + 6 = 0

X intercept :

2X +3(0) = -6

( -3, 0)

Y intercept:

2(0) + 3Y = -6

Y = -2

(0, -2)

Locate the intercepts and graph your line.