HELP PLS ASAP Explain how to find the slope of the function without using technology.

2x + 3y = 12

The slope is −2/3

Step-by-step explanation:

2 x + 3 y = 12  is the standard form for a linear equation. To determine the slope, solve the equation for  y  in order to convert to the slope-intercept form  y = m x + b , where  m  is the slope and  b  is the y-intercept.

2 x + 3 y = 12  

Subtract  2 x  from both sides.

3 y = − 2 x + 12

Divide both sides by  

3 . y = − 2 /3 x + 12 /3 =

y = − 2 /3 x + 4

The slope is  

− 2 /3