Alan Wright

2023-02-25

What is the slope of a line that is parallel to a vertical line?

Quincy Doyle

Beginner2023-02-26Added 8 answers

Determine the square root of 100.

$100=10\times 10$

Take the square root of the above value on both sides.

$\sqrt{100}=\sqrt{10\times 10}$

$\sqrt{100}=10$

Thus, the square root of 100 is 10.

$100=10\times 10$

Take the square root of the above value on both sides.

$\sqrt{100}=\sqrt{10\times 10}$

$\sqrt{100}=10$

Thus, the square root of 100 is 10.

Karli Foley

Beginner2023-02-27Added 4 answers

Keep in mind that if one line is vertical, all subsequent parallel lines are also vertical.

For any two points $({x}_{1},{y}_{1})$ and $({x}_{2},{y}_{2})$ on a line

the slope is defined as $\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}$

BUT if the line is vertical $x}_{1}={x}_{2$ for all points on the line

and therefore the definition of the slope would require dividing by zero (which is undefined).

For any two points $({x}_{1},{y}_{1})$ and $({x}_{2},{y}_{2})$ on a line

the slope is defined as $\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}$

BUT if the line is vertical $x}_{1}={x}_{2$ for all points on the line

and therefore the definition of the slope would require dividing by zero (which is undefined).