You need to know that `y = mx+b` represents the slope intercept form of equation of a line, such that:

`m` represents the slope of the line

`b ` represents y intercept

You need to solve for x the equation `y = mx + b` , hence, you need to isolate the term that contains `x` to the left side, such that:

`-mx = -y + b`

You need to multiply by `-1` such that:

`mx = y - b`

Dividing by m yields:

`x = (y - b)/m`

**Hence, evaluating the solution to the given equation `y = mx + ``b` , if `m,b!=0` , yields `x = (y - b)/m` .**

If you need to sketch the graph of the function, you need to have at least two points, hence, you may find `x` and `y` intercepts, such that:

`x ` intercept => `y = 0 => mx + b = 0 => mx = -b => x = -b/m`

**The graph intercepts `x` axis at `(-b/m,0).` **

y intercept

`x = 0 => m*0 + b = y => y = b`

**The graph intercepts `y ` axis at `(0,b).` **

**Notice that if the slope `m` is negative, the line descends and if the slope is positive, the line goes up.**

## See eNotes Ad-Free

Start your **48-hour free trial** to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Already a member? Log in here.