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:

1. Slope-Intercept Form


2. 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= mx +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= mx +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