a line passes through the points in this table.\n\nwhat is the slope of the line?\nwrite your answer as an…

a line passes through the points in this table.\n\nwhat is the slope of the line?\nwrite your answer as an integer or simplified fraction.

a line passes through the points in this table.\n\nwhat is the slope of the line?\nwrite your answer as an integer or simplified fraction.

Answer

Explanation:

Step1: Recall the slope formula

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Let's take two points ((x_1,y_1)=(8,24)) and ((x_2,y_2)=(9,17)).

Step2: Substitute the values into the formula

(m=\frac{17 - 24}{9 - 8}=\frac{-7}{1}=-7). Let's check with another pair of points ((x_1,y_1)=(9,17)) and ((x_2,y_2)=(10,10)).

Step3: Substitute the new values into the formula

(m=\frac{10 - 17}{10 - 9}=\frac{-7}{1}=-7). And with ((x_1,y_1)=(10,10)) and ((x_2,y_2)=(11,3))

Step4: Substitute the new values into the formula

(m=\frac{3 - 10}{11 - 10}=\frac{-7}{1}=-7)

Answer:

(-7)