For this case we have that by definition, 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})[/tex] and[tex](x_ {2}, y_ {2})[/tex] are two points through which the line passes.
According to the statement we have:
[tex](x_ {1}, y_ {1}) :( 5, -5)\\(x_ {2}, y_ {2}): (7,3)[/tex]
Substituting we have:
[tex]m = \frac {3 - (- 5)} {7-5} = \frac {3 + 5} {2} = \frac {8} {2} = 4[/tex]
Thus, the slope of a line that passes through the given points is: [tex]m = 4[/tex]
Answer:
[tex]m = 4[/tex]