Question

What is the slope of the line that
passes through these two points?
(2, 3)
(2,9)

Answer 1

Slope = undefined.

Explanation:

Given two points:

• (2,3) & (2,9)

To Find:

• The slope

Solution:

Using slope's formulae,

[m denotes slope]

`\boxed{ \rm{m = \cfrac{y_2 -y_1 }{x_2 - x_1} }}`

According to the question,here:

• (y_2,y_1) = (9,3)
• (x_2,x_1) = (2,2)

Substitute them onto the formulae:

`\rm \: m = \cfrac{9 - 3}{2 - 2}`

Simplify.

`\rm \: m = \cfrac{6}{2 - 2}`

if an expression contains division by 0 , then It's undefined.

So, slope(m) = undefined.