Don't slide on the slope

Geometry Level 3

Find the slope.

Make sure your answer is in lowest terms and in a fraction.

Write your answer as a + b a b \frac{a}{b}


The answer is 7.

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1 solution

Angela Fajardo
Apr 14, 2015

Pick any two points on the line:

I picked the two points with the cross mark, (-6, 4) and (18, -6), though you could choose other points such as (6, -1).

Finding the slope:

May be R i s e R u n \frac{Rise}{Run}

or y 2 y 1 x 2 x 1 \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

which both equals to m or the slope

Substituting it with the formula above, using the points (-6, 4) and (18, -6):

( 6 ) 4 18 ( 6 ) \frac{(-6) - 4}{18 - (-6)} = 10 24 \frac{-10}{24} = 5 12 \frac{-5}{12}

And since it asks to write the answer as a +b:

-5 will be the a and 12 will be the b

a + b = -5 + 12 = 7

Hence, 7 is the answer

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