Answer:
slope of line = - 19/9
Step-by-step explanation:
Point A [tex](x_{1}, y_{1}) = (-12, -56)[/tex]
Point B [tex](x_{2}, y_{2}) = (-57, 39)[/tex]
Now slope of line (m) = [tex]\frac{y_{2} - y_{1} }{x_{2} -x_{1} }[/tex]
slope of line passing through points (-12, -56) and (-57, 39) is:
= [tex]\frac{39 - (-56)}{-57- (-12)}[/tex]
= [tex]\frac{39 + 56}{-57 + 12}[/tex]
= [tex]\frac{95}{-45}[/tex]
= [tex]- \frac{19}{9}[/tex]