Question

Slope of -8,4 and 3,-4

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}}`

Where:

`(x_ {1}, y_ {1})`and
`(x_ {2}, y_ {2})`are two points through which the line passes

According to the statement we have:

`(x_ {1}, y_ {1}): (- 8,4)\\(x_ {2}, y_ {2}) :( 3, -4)`

Substituting we have:

`m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-4-4} {3 - (- 8)} = \frac {-8} {3 + 8} = \frac {-8} {11} = - \frac {8} {11}`

Thus, the slope of the line is:

`m = - \frac {8} {11}`

Answer:

`m = - \frac {8} {11}`