Answer: The slope of the line is
![(1)/(2)](https://img.qammunity.org/2019/formulas/mathematics/college/q5zg49mbtfrwobmmahi676fbgez56hhab0.png)
Explanation:
The slope of a line can be calculated with the following formula:
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/25uxp4sblay2143idvgkz738ukrk1vzo5g.png)
Then, given the points
and
, you can identify that:
![y_2=5\\y_1=7\\\\x_2=-3\\x_1=1](https://img.qammunity.org/2019/formulas/mathematics/middle-school/p4lpo6zgz1a069xoj9x5zsb9ob8i9r6s0m.png)
Knowing these values you can substitute them into the formula for calculate the slope:
![m=(5-7)/(-3-1)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/fk81wwtii9q64375tijpq9cpqf45m9oh8f.png)
Finally, evaluating, you get that the slope of that line is:
![m=(-2)/(-4)\\\\m=(1)/(2)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/m4j7b5wmmk183rdyc07ufjtv3s6z6tvlaf.png)