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.
- Lesson on Slope-Intercept Form