slope-intercept form. x-3y=-2

Question

Write the slope intercept form of the equation of each line.

x-3y =-2

Answer 1

Solving the equation for Y, you will find,

 

Y=1/3*x+2/3

This the very "slope-intercept" form of equation of straight line.

 

Sloe is 1/3

Intercept is 2/3

Answer 2

The given equation is in Standard Form, which looks like:   Ax + By = C

The slope-intercept form of the equation of a line looks like:  y=mx + b

    where m is the slope and b is the y=intercept (the place where the line crosses the y-axis) at (0,b).

 

Solve for y:

   x-3y=-2

   -3y = -2 - x                [subtract x from both sides]

     y = 2/3 + (1/3)x           [multiply by (-1/3)

     y = (1/3)x + 2/3           [rearrange into y=mx + b form]