Question

How do you find the slope for (2,5); (9,1)?

Answer 1

`m=-4/7`

Explanation:

Let `(2,5)` be `(x_1,y_1)` and `(9,1)` be `(x_2,y_2)`.
Now, to find the slope we use this simple formula,
`m=(y_2−y_1)/(x_2−x_1)`
Substituting the values, we get,
`m=(1−5)/(9−2)`
`:.m=-4/7`

Hope this helps :)

Answer 2

See a solution process below:

Explanation:

The formula for find the slope of a line is:

`m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))`

Where `(color(blue)(x_1), color(blue)(y_1))` and `(color(red)(x_2), color(red)(y_2))` are two points on the line.

Substituting the values from the points in the problem gives:

`m = (color(red)(1) - color(blue)(5))/(color(red)(9) - color(blue)(2)) = -4/7`

Answer 3

-4/7

Explanation:

The equation of line passing though two points is given by
`y-y_1=m(x-x_1)`
where m is known s slope and it is given by
`m=(y_2-y_1)/(x_2-x_1`