Line AB contains points A (8, −4) and B (1, −5). The slope of line AB is....

Verified Answer :

The slope is 1/7.
Reason:
-5+4       -1        1
------  =  ----- = -----
 1-8        -7        7

Answer:

\(The\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .\)

Step-by-step explanation:

Formula for slope

\(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

As the Line AB contains points A (8, −4) and B (1, −5).

Put points value in the above

\(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

\(m = \frac{- 5- (-4)}{1 - 8}\)

\(m = \frac{- 5 + 4}{1 - 8}\)

\(m = \frac{- 1}{-7}\)

\(m = \frac{1}{7}\)

\(Therefore\ the\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .\)