Answer:
the slope is [tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
Notice that you are given two points to use for the slope calculation:
[tex](x_1,y_1)=(-4,4) \,\,and\,\, (x_2,y_2)=(5,1)[/tex]
So we use the formula for the slope of a line given two points:
[tex]slope\,=\,\frac{y_2-y_1}{x_2-x_1} \\slope\,=\,\frac{1-4}{5-(-4)} \\slope\,=\,\frac{-3}{9} \\slope\,=\,-\frac{1}{3} \\[/tex]
