thank you so much! :3 heres a cookie!..okay theres no cookie, but help a sister out, please? :(

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.