# Find the slope of an equation of a line

by Visitor

(United States)

**Question**

Find the slope of the line 4y -3x +3 = 0.

**Answer**

To solve this question, we need to have some knowledge on the slope-intercept form of a line. The following math videos will explain the ideas behind it:

- Slope-Intercept Form

- Slope-Intercept Form Examples

After watching the videos above, we should know that an equation of a line can be in the form of:

**y=** **m****x** **+****b**

Where

**m** : slope of the line

** b** : y-intercept of the line

Now, looking at the question:

**4y -3x +3 = 0**

It is quite clear that this equation needs to be changed into the slope-intercept form for us to find the slope. We can do so by manipulating the equation as shown:

Notice that the final equation above is in the slope-intercept form? By comparing this equation above with

**y=** **m****x** **+****b**, clearly we can see that:

**slope =** **m**** = **^{3}/_{4}

As an extra, we can also see that the y-intercept of this line is:

**y-intercept =** **b**** = -**^{3}/_{4}