The formula to find the slope of a line is[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex], in other words the y coordinate of the second point minus the y coordinate of the first point over the x coordinate of the second point minus the x coordinate of the first point.
On this graph, the two points given are (-3,4) and (1,-2). With this, we can determine [tex]x_{1} , x_{2} , y_{1} , and y_{2}[/tex]
[tex]x_{1}=-3 \\ x_{2}=1\\ y_{1}=4\\ y_{2}=-2[/tex]
Plug these values correctly into the slope formula, and you can find your answer.
[tex]\frac{-2-4}{1--3} =\frac{-6}{4} =\frac{-3}{2}[/tex]
The slope of the line is-3/2.
Hope this helps!
