Question

What is the equation of the graphed line written in standard form?
  2x + 3y = –6
 2x + 3y = 6
y = -2/3x - 2
 y = 2/3x - 2

Answer 1

2x + 3y = 6

2x + 3y - 2x = 6-2x

3y = 6 - 2x

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

y = 6 -2x/3

y = 4x/3

xy = 4/3

Answer 2

Answer:

The standard form of equations are

2x+3y=-6 to $y=\frac{-2}{3}x-2$

and  2x + 3y = 6 to  $y=\frac{2}{3}x-2$

Step-by-step explanation:

we have to write the graphed line equation in standard form i.e in the form y=mx+c

Equation is 2x+3y=-6

The standard form is

3y=-6-2x

⇒ $y=\frac{-2}{3}x-2$

Also the equation given is

2x + 3y = 6

⇒ $y=\frac{2}{3}x-2$