Answer: [tex]-3\dfrac{1}{2}[/tex].
Step-by-step explanation:
We know that the slope of a line passing through points (a,b) and (c,d) is given by :_
[tex]m=\dfrac{d-b}{c-a}[/tex]
The given points : (-4,3) and (-2, -4)
Now, the slope of the line passing through points (-4,3) and (-2, -4) is given by :-
[tex]m=\dfrac{-4-3}{-2-(-4)}\\\\\Rightarrow\ m=\dfrac{-7}{-2+4}\\\\\Rightarrow\ m=\dfrac{-7}{2}=-3\dfrac{1}{2}[/tex]
The slope of a line passing through points (-4,3) and (-2, -4) is [tex]-3\dfrac{1}{2}[/tex].
