Verified Answer :

the answer is choice b.
y2-y1/x2-x1

0-13/ 7-(-14)
-13/7+14
-13/21

Answer:

Option B is correct.

\(-\frac{13}{21}\)

Step-by-step explanation:

Slope of the line that passes through the point is given by:

\(\text{Slope} = \frac{y_2-y_1}{x_2-x_1}\)

As per the statement:

A line that passes through (–14,13) and (7,0)

then;

\(\text{Slope} = \frac{0-13}{7-(-14)}\)

⇒\(\text{Slope} = \frac{-13}{7+14}\)

⇒\(\text{Slope} = \frac{-13}{21}\)

Therefore, the slope of a line that passes through (–14,13) and (7,0) is,  \(-\frac{13}{21}\)