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OpenStudy (anonymous):
Please help find the slope of this line...It is fraction so i don' t understand how to do it.
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TheSmartOne (thesmartone):
What is the line? :)
OpenStudy (anonymous):
\[G(3, \frac{ 2 }{ 3 }) and H(-\frac{ 2 }{ 3 }, 2)\]
I know it is y2-y1 over x2-x1 so
\[\frac{ 2 - \frac{ 2 }{ 3 } }{ \frac{ -2 }{ 3 }-3 }\] But, now what?
TheSmartOne (thesmartone):
so correct
TheSmartOne (thesmartone):
\(\sf\Large 2 - \frac{2}{3} = \frac{6}{3} - \frac{2}{3} =?\)
OpenStudy (anonymous):
\[\frac{ 4 }{ 3 }\] Then that would be over \[\frac{ 11 }{ 3 }\] Correct?
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TheSmartOne (thesmartone):
correct
and now we have
\(\sf\Huge \frac{\frac{4}{3}}{\frac{11}{3}} = \frac{4}{3} \div \frac{11}{3} = \frac{4}{3} \times \frac{3}{11}=?\)
OpenStudy (anonymous):
\[\frac{ 12 }{ 33 } ?\]
TheSmartOne (thesmartone):
we can simplify it by dividing by 3 on the numerator and denominator :)
OpenStudy (anonymous):
so 4/11?
TheSmartOne (thesmartone):
correct :)
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TheSmartOne (thesmartone):
correct
and now we have
\(\sf\Huge \frac{4}{3} \times \frac{3}{11}=\frac{4}{\cancel{3}} \times \frac{\cancel{3}}{11}=\boxed{\frac{4}{11}}\)
TheSmartOne (thesmartone):
Good job! :D
OpenStudy (anonymous):
Awesome, Thank you for the help @TheSmartOne it really makes sense now! :)
TheSmartOne (thesmartone):
Anytime! @Savannah_Lynn13 :D
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