a line passes through the points in this table.\n| x | y |\n| 8 | 24 |\n| 9 | 17 |\n| 10 | 10 |\n| 11 | 3…

a line passes through the points in this table.\n| x | y |\n| 8 | 24 |\n| 9 | 17 |\n| 10 | 10 |\n| 11 | 3 |\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| x | y |\n| 8 | 24 |\n| 9 | 17 |\n| 10 | 10 |\n| 11 | 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 formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take the first two - points $(8,24)$ and $(9,17)$.

Step2: Substitute values into formula

Here, $x_1 = 8$, $y_1=24$, $x_2 = 9$, $y_2 = 17$. Then $m=\frac{17 - 24}{9 - 8}$.

Step3: Calculate the slope

$\frac{17 - 24}{9 - 8}=\frac{-7}{1}=-7$.

Answer:

$-7$