Answer : Third option is correct.
Explanation:
Since we know the formula of two point slope form i.e.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Since we have given two points are (-3,4) and (4,-1)
where
[tex]x_1=-3\\x_2=4\\y_1=4\\y_2=-1[/tex]
Now we apply the formula ,
[tex]m=\frac{-1-4}{4+3}\\\\m=\frac{-5}{7}[/tex]
So, slope of this line passing through the points (-3,4) and (4,-1) is given by
[tex]m=\frac{-5}{7}[/tex]
