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:

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





Click here to post comments.

Graphs
Basic Algebra
Exponents
Symmetry
Fractions
Volume
Area
Useful Resources