Respuesta :

Answer:

Step-by-step explanation:

Gradient or slope = (7-6)/(4-(-8))

= 1/12

The gradient of a line is the same as the slope of the line.

The gradient of the line segment between the points (-8,6) and (4,7) is 1/12

The points are given as:

[tex](x,y) = \{(-8,6),(4,7)\}[/tex]

The gradient (m) of a line segment is:

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

So, we have:

[tex]m = \frac{7-6}{4-(-8)}[/tex]

[tex]m = \frac{7-6}{4+8}[/tex]

[tex]m = \frac{1}{12}[/tex]

Hence, the gradient of the line segment is 1/12

Read more about gradients at:

https://brainly.com/question/15361737