Answer: −3 over 2
Step-by-step explanation:
Formula to find the slope of a line that passing through two points (a,b) and (c,d) is given by :-
[tex]Slope=\dfrac{d-b}{c-a}[/tex]
The given points are : (-3, 2) and (-1,-1)
Then, the slope of the line passing through theses points = [tex]\dfrac{-1-2}{-1-(-3)}[/tex]
[tex]=\dfrac{-3}{-1+3}[/tex] [∵ (-)(-) = (+)]
[tex]=\dfrac{-3}{2}[/tex]
Hence, the slope of the line shown in the graph [tex]=\dfrac{-3}{2}[/tex]
Hence, the correct answer is −3 over 2.
