Question

`(-12, 1) and (-8, 6).`Calculate the slope of this line.Do you think the slope will be the same if the order of the points is reversed? Verify by calculating the slope. I don't get what I have to do, could you help me?

Answer 1

Given the points:

(x1, y1) = (-12, 1)

(x2, y2) ==> (-8, 6)

To find the slope, use the slope formula below:

`m=(y2-y1)/(x2-x1)`
`\begin{gathered} m=(6-1)/(-8-(-12))=(6-1)/(-8+12) \\ \\ m=(5)/(4) \end{gathered}`

The slope of the line is:

`(5)/(4)`

If the order of the points is reversed, let's find the slope.

First swap the order of the points:

(x1, y1) ==> (-8, 6)

(x2, y2) ==> (-12, 1)

`\begin{gathered} m=(1-6)/(-12-(-8))=(1-6)/(-12+8) \\ \\ m=(-5)/(-4) \\ \\ m=(5)/(4) \end{gathered}`

Therefore, if the order of the points is reversed, the slope will still be the same.

ANSWER:

`(5)/(4)`

If the order of the points is reversed, the slope will remain the same.