Respuesta :

Answer:

D. [tex] \frac{3}{2} [/tex]

Step-by-step explanation:

Given:

(10, 13), (14, 19)

Required:

Determine the slope of the line that runs through the two points.

Solution:

Use the formula, [tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (10, 13) = (x_1, y_1) [/tex]

[tex] (14, 19) = (x_2, y_2) [/tex]

Plug the values into the formula:

[tex] slope (m) = \frac{19 - 13}{14 - 10} [/tex]

[tex] = \frac{6}{4} [/tex]

Simplify

[tex] slope (m) = \frac{3}{2} [/tex]