For this case we have that the slope of a line is given by:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
Where [tex](x_ {1}, y_ {1})\ and\ (x_ {2}, y_ {2})[/tex] are two points that belong to the line.
Then, having the following points:
[tex](x_ {1}, y_ {1}) = (4,3)\\(x_ {2}, y_ {2}) = (2,7)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}\\m = \frac {7-3} {2-4}\\m = \frac {4} {- 2}\\m = -2[/tex]
Thus, the slope is given by[tex]m = -2[/tex]
Answer:
[tex]m = -2[/tex]
Option B
