find the slope of the line that passes through (10, 10) and (1, 5). 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. Let ((x_1,y_1)=(1,5)) and ((x_2,y_2)=(10,10)).

Step2: Substitute the values into the formula

Substitute (x_1 = 1,y_1=5,x_2 = 10,y_2 = 10) into the formula: (m=\frac{10 - 5}{10 - 1}).

Step3: Simplify the expression

(m=\frac{5}{9})

Answer:

(\frac{5}{9})