what is the slope of this graph?

Answer: [tex]\dfrac{-3}{4}[/tex]
Step-by-step explanation:
The slope of a line passes through two points (a,b) and (c,d) is given by :-
[tex]m=\dfrac{d-b}{c-a}[/tex]
From the give graph, the line is passing through (0,2) and (4,-1).
Then the slope of line will be :-
[tex]m=\dfrac{-1-2}{4-0}\\\\=\dfrac{-3}{4}\\\\=\dfrac{-3}{4}[/tex]
Hence, the slope of the line on the graph
[tex]=\dfrac{-3}{4}[/tex]