find the slope of the line that passes through (10, 10) and (1, 2). simplify your answer and write it as a…

Explanation:

Step1: Recall the slope formula

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}), where ((x_1,y_1)) and ((x_2,y_2)) are two points on the line.

Step2: Identify the coordinates

Let ((x_1,y_1)=(10,10)) and ((x_2,y_2)=(1,2)).

Step3: Substitute into the formula

(m=\frac{2 - 10}{1 - 10}=\frac{-8}{-9})

Step4: Simplify the fraction

(\frac{-8}{-9}=\frac{8}{9})

Answer:

(\frac{8}{9})