find the slope of the line that passes through (10, 7) and (1, 12). simplify your answer and write it as a…

Explanation:

Step1: Identify the formula for slope

The formula for slope (m) between two points ((x_1,y_1)) and ((x_2,y_2)) is (m=\frac{y_2 - y_1}{x_2 - x_1}).

Step2: Assign values to (x_1,y_1,x_2,y_2)

Let ((x_1,y_1)=(10,7)) and ((x_2,y_2)=(1,12)). Then (y_2 - y_1=12 - 7 = 5) and (x_2 - x_1=1 - 10=-9).

Step3: Calculate the slope

Substitute into the formula: (m=\frac{12 - 7}{1 - 10}=\frac{5}{-9}=-\frac{5}{9}).

Answer:

(-\frac{5}{9})