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}}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cclrk8k9bxv15y05i3ra8kmqckbcx942t8.png)
Where:
and
are two points through which the line passes.
According to the statement we have:
![(x_ {1}, y_ {1}) :( 5, -5)\\(x_ {2}, y_ {2}): (7,3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/nqyjcui4n946luwt5h48z851ljhp9uuufa.png)
Substituting we have:
![m = \frac {3 - (- 5)} {7-5} = \frac {3 + 5} {2} = \frac {8} {2} = 4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gdwh7483byk3m9aahe5gnzkozlbirzzos3.png)
Thus, the slope of a line that passes through the given points is:
![m = 4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dc6ethfk50i4uel25nrv9l4alu6ilaza9m.png)
Answer:
![m = 4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dc6ethfk50i4uel25nrv9l4alu6ilaza9m.png)