Answer:
[tex] The\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .[/tex]
Step-by-step explanation:
Formula for slope
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
As the Line AB contains points A (8, −4) and B (1, −5).
Put points value in the above
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
[tex]m = \frac{- 5- (-4)}{1 - 8}[/tex]
[tex]m = \frac{- 5 + 4}{1 - 8}[/tex]
[tex]m = \frac{- 1}{-7}[/tex]
[tex]m = \frac{1}{7}[/tex]
[tex]Therefore\ the\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .[/tex]
