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:

Find the slope of an equation of a line

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


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Apr 05, 2014
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Mar 14, 2014
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Mar 07, 2014
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Feb 24, 2013
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Jun 07, 2012
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Feb 03, 2012
I appreciate this
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Nov 29, 2011
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Aug 25, 2011
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Aug 25, 2011
Perfect
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Aug 15, 2011
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by: GirlCHick

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Aug 02, 2011
slopes
by: heyyooBREEzyy

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May 12, 2011
awesome
by: Anonymous

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Feb 28, 2011
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Feb 28, 2011
Thanks
by: Volleygirl69

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Jan 22, 2011
algebra
by: Anonymous

This is very great. I have atest on monday and most of the questions look like this so thanks for the help :)

Nov 08, 2010
SLOPE
by: naughty gurl

thanks this really helped out!!!

Feb 23, 2010
thanks
by: no one

thank you this helped

Apr 18, 2009
Slope of y =3x -7
by: Anonymous

Well, if you compare y = 3x -7 with y= mx + b where m is the slope and b is the y-intercept, you can clearly see that:

m = 3
b = -7

Hence, the slope of y=3x-7 is 3....

Apr 07, 2009
what is the slope of y =3x -7
by: Anonymous

what is the slope of y =3x -7

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