Respuesta :

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

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

Answer:

Option B is correct.

[tex]-\frac{13}{21}[/tex]

Step-by-step explanation:

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

[tex]\text{Slope} = \frac{y_2-y_1}{x_2-x_1}[/tex]

As per the statement:

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

then;

[tex]\text{Slope} = \frac{0-13}{7-(-14)}[/tex]

⇒[tex]\text{Slope} = \frac{-13}{7+14}[/tex]

⇒[tex]\text{Slope} = \frac{-13}{21}[/tex]

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

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