a line passes through the points in this table. what is the slope of the line? write your answer as an…

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 two points from the table, say $(x_1,y_1)=(-19,-4)$ and $(x_2,y_2)=(-10,1)$.

Step2: Substitute values into formula

$m=\frac{1-(-4)}{-10-(-19)}$.

Step3: Simplify the numerator and denominator

The numerator $1-(-4)=1 + 4=5$, and the denominator $-10-(-19)=-10 + 19 = 9$. So $m=\frac{5}{9}$.

Answer:

$\frac{5}{9}$