the slope of the line that passes through the points (x₁,y₁) and (x₂,y₂) is
[tex] \frac{y_2-y_1}{x_2-x_1} [/tex]
given
(-3,4) and (2,-1)
(x,y)
x₁=-3
y₁=
4x₂=
y2₂=-1
subsitute
[tex] \frac{-1-4}{2-(-3)} [/tex]
[tex] \frac{-5}{2+3} [/tex]
[tex] \frac{-5}{5} [/tex]
-1
the slope is -1