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.