Question

A line intersects the points

(7,6) and (11, -6).
What is the slope of the line in
simplest form?
m = [?]

Answer 1

Hello.

Let's use the slope formula in order to find the slope:

`\bf{\displaystyle(y_2-y_1)/(x_2-_x_1)`

Where

y₂ = the y-coordinate of the second point (-6)

y₁=the y-coordinate of the first point (6)

x₂=the x-coordinate of the second point (11)

x₁=the x-coordinate of the first point (7)

Plug in the values:

`\bf{\displaystyle(-6-6)/(11-7) =(-12)/(4) =-3`

Therefore, m (the slope) is equal to -3.

I hope it helps.

Have an outstanding day. :)

`\boxed{imperturbability}`

Answer 2

`m=-3`

Explanation:

`m=(y_2-y_1)/(x_2-x_1)`

Substitute and calculate

`x_1=7`

`x_2=11`

`Substitute`
`into\ m=(y_2-y_1)/(x_2-x_1)`

`y_1=6`

`y_2=-6`

Substitute

`m=(-6-6)/(11-7)`

Calculate the sum or difference

`m=(-12)/(4)`

Cross out the common factor

`m=-3`

I hope this helps you

:)