Finding the slope and y-intercept

by Issy
(United States)

Question

How do I find the slope and y-intercept of y=x+6?

Answer

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:

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