a line passes through the points in this table.\n| x | y |\n| 5 | 19 |\n| 10 | 15 |\n| 20 | 7 |\n| 25 | 3…
a line passes through the points in this table.\n| x | y |\n| 5 | 19 |\n| 10 | 15 |\n| 20 | 7 |\n| 25 | 3 |\nwhat is the slope of the line?\nwrite your answer as an integer or simplified fraction.
Answer
Explanation:
Step1: Recall slope formula
The 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: Choose two points
Let's take ((x_1, y_1)=(5, 19)) and ((x_2, y_2)=(10, 15)).
Step3: Substitute into formula
Substitute values: ( m=\frac{15 - 19}{10 - 5}=\frac{-4}{5} ). We can check with another pair, e.g., ((10,15)) and ((20,7)): ( \frac{7 - 15}{20 - 10}=\frac{-8}{10}=\frac{-4}{5} ), same result.
Answer:
(-\frac{4}{5})