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Geometry
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Identify the slope of the line shown in the graph below.
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slope = undefined slope = 0 slope = 3 slope = 1
All vertical lines have no slope or undefined slope.
I choose "Slope = 3 "
Then you are wrong. Do you understand why all vertical lines have NO slope?
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Use the definition of slope, change of y/change of x to find the slope of your vertical line. You will find you get 0 in the denominator of that fraction. And when 0 is in the denominator, the fraction is undefined!
So its slope = undefined
\(\bf slope = m= \cfrac{rise}{run} \implies \cfrac{y_2-y_1}{x_2-x_1}\) notice, the RUN gets the same "x" values for say \(\bf x_2 \quad x_1\) so they each cancel each other, same - same = 0 so, yes
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