Question

(r, 3), (-4, 5), m=-2/5

Answer 1

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}}`

According to the statement we have the following data:

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

Substituting we have:

`- \frac {2} {5} = \frac {3-5} {r - (- 4)}\\- \frac {2} {5} = \frac {-2} {r + 4}`

So we have to:

`r + 4 = 5\\r = 5-4\\r = 1`

Thus:

`x_ {2} = 1`

ANswer:

`x_ {2} = r = 1`