Answer: The slope of the line is [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The slope of a line can be calculated with the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Then, given the points [tex](-3, 5)[/tex] and [tex](1, 7)[/tex], you can identify that:
[tex]y_2=5\\y_1=7\\\\x_2=-3\\x_1=1[/tex]
Knowing these values you can substitute them into the formula for calculate the slope:
[tex]m=\frac{5-7}{-3-1}[/tex]
Finally, evaluating, you get that the slope of that line is:
[tex]m=\frac{-2}{-4}\\\\m=\frac{1}{2}[/tex]
