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

Question

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

Answer 1

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.

 

Answer 2

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.