How do you identify the slope for 3y= x -1/2?

1 Answer
Apr 7, 2015

3y=x-1/2

The general linear equation is y=mx+c.
m=slope
c=y-intercept

To find a slope of the line from the liner equation, you have to make sure that all values are in order of the general equation of y=mx+c

In 3y=x-1/2, all values are in the correct position already. However, we have to simplify this linear equation further to ensure that our linear equation is y=mx+c

3y of 3y=x-1/2 has to become y of y=mx+c
We can do that by dividing 3y=x-1/2 by 3.

(3y)/3=(x-1/2)/3
y=1/3x-1/6 as we compare this to the general equation of y=mx+c, m which is the slope is multiplied together with x, hence, the slope for 3y=x-1/2 or y=1/3x-1/6 is 1/3