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:

$m = -2$