Question

Find the slope given the two points.

(2, -6) and (2, 3)

Answer 1

Answer :-

Undefined

Step-by-step explanation :-

Slope of the graph is the value of tan θ where θ is the angle. This can also be visualised as (∆y ÷ ∆x).

So, Slope = Change in Y axis ÷ Change in X axis

$\boldsymbol{slope = \dfrac{y _{2} - y_1}{x_2 - x_1}}$

Here:

• x₁ = 2
• y₁ = -6
• x₂ = 2
• y₂ = 3

Now, the slope can be given as:

Slope = (y₂ - y₁) ÷ (x₂ - x₁)

⇒ Slope = (3 - (-6)) ÷ (2 - 2)

⇒ Slope = (3 + 6) ÷ 0

⇒ Slope = 9 ÷ 0

Any number divided by zero goes to infinity or in other words ‘cannot be defined’.

So, the slope of this graph remains undefined.