Question

Identify the slope of the line shown in the graph below.

Answer 1

slope = undefined

slope = 0

slope = 3

slope = 1

Answer 2

All vertical lines have no slope or undefined slope.

Answer 3

I choose "Slope = 3 "

Answer 4

Then you are wrong. Do you understand why all vertical lines have NO slope?

Answer 5

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!

Answer 6

So its slope = undefined

Answer 7

\(\bf slope = m= \cfrac{rise}{run} \implies \cfrac{y_2-y_1}{x_2-x_1}\)

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