# How do you find the slope of # 3y=x+3#?

##### 1 Answer

Slope:

#### Explanation:

Slope-intercept form:

If we put the given equation into slope-intercept form, we can identify the slope.

First get

#3y = x+3#

#y = x/3 + 1#

This equation is now in slope intercept form. We must find the slope. We saw at the top that the slope,

#x/3#

It is in the form of a fraction. What do we do to clearly identify the slope? Rewrite the variable term, since

#x/3 = 1/3 times x = 1/3 x#

Now let's rewrite the whole equation.

#y = 1/3 x + 1#

#color(grey)(y = mx+b)#

Look for the number before

If we were to graph the equation and look at the slope that way, it would be the same.

graph{1/3x+1 [-10, 10, -5, 5]}