Answer:
[tex]-\frac{3}{5}[/tex]
Step-by-step explanation:
Use the slope formula:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}[/tex]
Slope is the change in the y values over the change in the x values. Insert values:
[tex](-3_{x_{1}},4_{y_{1}})\\\\(7_{x_{2}},-2_{y_{2}})\\\\\frac{-2-4}{7-(-3)}[/tex]
Simplify:
[tex]\frac{-2-4}{7+3}=\frac{-6}{10} =-\frac{3}{5}[/tex]
Therefore, the slope is [tex]-\frac{3}{5}[/tex].
:Done
