Respuesta :

Answer:

-1/6

Step-by-step explanation:

https://brainly.com/question/20487549

The slope is -1/6

Step-by-step explanation:

We simply use the slope formula here

Mathematically, we have this as;

m = (y2-y1)/(x2-x1)

thus;

m = (10-8)/(-21 + 9) = 2/-12 = -1/6

The slope of a line that passes through the points (-9,8) and (-21,10) is -1/6

What is slope?

The slope of a linear graph is the rate of change of the graph

From the question, we have the following ordered pairs

(x,y) = (-9,8) and (-21,10)

So, the rate of change (m) is then calculated as:

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

This gives

[tex]m =\frac{10 - 8}{-21 + 9}[/tex]

Evaluate the differences

[tex]m =\frac{2}{-12}[/tex]

Evaluate the quotient

[tex]m =-\frac{1}{6}[/tex]

Hence, the slope is -1/6

Read more about rate of change at:

https://brainly.com/question/1884491