Finding the slope and y-intercept

by Issy
(United States)

How do I find the slope and y-intercept of y=x+6?
To find the slope and y-intercept of this equation, we need to understand the Slope-Intercept Form of an equation of a line. This is shown in the picture below:

Slope-Intercept Form

From the picture above, we can clearly see that:
m = slope
b = y-intercept

Now, let's take a look at your equation:
y = x + 6

The equation above is already is in Slope-Intercept Form. To clearly explain this, we can rewrite the equation above like this:
y = 1x + 6

Now, let's do some comparison:
y = mx + b
y = 1x + 6

With this, we can clearly see that this equation have the slope = 1 and y-intercept = 6. The following link will explain the Slope-Intercept Form in more detail.
  1. Lesson on Slope-Intercept Form

Comments for Finding the slope and y-intercept

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Apr 07, 2011
by: Princess

Your explanation couldn't be any easier than this.
I've had teachers and tutors explain this to me. This was the easiest explanation that I can remember.

Dec 17, 2009
slope intercept form
by: skitlez

OR you can describe it as Y=MX+B as B=base [where the equation starts] M=motion [how the problem moves]. for example y=1/2x+6; you would have to start at positive 6 and go 1 up 2 over...

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