Respuesta :

Answer:

Option 3: 14 is the correct answer.

Step-by-step explanation:

Slope is denoted by m and is calculated using the formula:

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

Here

(x1,y1) are the coordinates of first point and

(x2,y2) are the coordinates of second point

Given

(x1,y1) = (3, -20) and

(x2,y2) = (5,8)

Putting the values in the formula, we get

[tex]m = \frac{8-(-20)}{5-3}\\m = \frac{8+20}{2}\\m = \frac{28}{2}\\m = 14[/tex]

The slope of line passing through points (3, -20) and (5,8) is 14.

Hence,

Option 3: 14 is the correct answer.