Question

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

Answer 1

Hello there!

The slope is -1/5.

To find the slope, subtract the y values over the x values.

- 5 - - 4 / 3 - - 2 - Since subtracting a negative is the same as adding a positive, you can rewrite the equation like this: - 5 + 4 / 3 + 2.

You are left with -1/5, this cannot be simplified so this is your final answer. I hope this helps and have a great day! :)

Answer 2

For this case we have that by definition, the slope of a line is given by:
`m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}`

Only two points are needed through which the line passes.

Where:

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

Answer:

`m=-(1)/(5)`