Equation into slope intercept form

Question

-2x + 3y = -21

Answer 1

3y=2x-21 divide the both parts by 3

y= 2/3x -7 where 2/3 is the slope

Answer 2

 

Slope-intercept form of a line is:

 

   y = mx + b

 

   where

        m = slope

        b = y-intercept

 

We have  -2x + 3y = -21

 so the task is to isolate y and write in the "mx+b" form above:

 

             3y = -21 + 2x

              y = (1/3)(-21 + 2x)

              y = -7 + (2/3)x

    Ans:    y = (2/3)x - 7