a line passes through the points in this table.\n|x|y|\n|4|17|\n|5|4|\n|6|-9|\n|7|-22|\nwhat is the slope of…

a line passes through the points in this table.\n|x|y|\n|4|17|\n|5|4|\n|6|-9|\n|7|-22|\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|4|17|\n|5|4|\n|6|-9|\n|7|-22|\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 $(4,17)$ and $(5,4)$. $m=\frac{4 - 17}{5 - 4}$

Step2: Calculate the numerator and denominator

The numerator $4−17=-13$, and the denominator $5 - 4 = 1$. So $m=\frac{-13}{1}=-13$. We can also check with other pairs of points. Let's take $(5,4)$ and $(6, - 9)$. Then $m=\frac{-9 - 4}{6 - 5}=\frac{-13}{1}=-13$.

Answer:

$-13$