Question

Find the slope of the straight line that passes through (–2, –4) and (3, –5)

Answer 1

YOur answer would be -1/5.

Explanation

rise/run

-4--5/-2-3

=-1/5

Answer 2

For this case we have by definition, that the slope of a line is given by:

the following formula:

`m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}`

Having two points through which the line passes:

`(x_ {1}, y_ {1}): (- 2, -4)\\(x_ {2}, y_ {2}) :( 3, -5)`

Substituting:

`m = \frac {-5 - (- 4)} {3 - (- 2)}\\m = \frac {-5 4} {3 2}\\m = \frac {-1} {5}`

Finally, the slope of the line is:

`m = - \frac {1} {5}`

Answer:

`m = - \frac {1} {5}`