Question

What is the slope of the line that passes through the points (5,7) and (-1, 19) ?

Answer 1

For this case we have that by definition, having two points through which a line passes
`(x_ {1}, y_ {1})\ and\ (x_ {2}, y_ {2})`, we can find its slope of the following form:

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

If we have:

`(x_ {1}, y_ {1}) = (5,7)\\(x_ {2}, y_ {2}) = (- 1,19)\\m = \frac {19-7} {- 1-5}`

We know that equal signs are added and the same sign is placed

`m = \frac {12} {- 6}\\m = -2`

So, the slope of that line is
`m = -2`

Answer:

`m = -2`