Question

What happens to the slope when a line with positive slope gets close to vertical?

Answer 1

\[\color{purple}{\small\text{it goes to infinity and becomes undefined}}\]

Answer 2

\[\color{orange}{\small\text{as in 1/0}}\]

Answer 3

yup, as it approaches the y-axis(vertical), its slope becomes tan 90, which is undefined(infinity)!!!