Answer:
[tex]y=\frac{3}{13}x-\frac{174}{13}[/tex]
Step-by-step explanation:
slope:
[tex]m=\frac{-15-(-9)}{-7-19} =\frac{-15+9}{-26} =\frac{-6}{-26} =\frac{3}{13}[/tex]
Equation, with the point (19, -9):
[tex]y-(-9)=\frac{3}{13} (x-19)[/tex]
[tex]y+9=\frac{3}{13} x-\frac{57}{13}[/tex]
[tex]y=\frac{3}{13} x-\frac{57}{13} -9[/tex]
[tex]-9=-9(\frac{13}{13} )=-\frac{117}{13}[/tex]
[tex]y=\frac{3}{13}x-\frac{174}{13}[/tex]
Hope this helps
