a line passes through the points in this table.\n| x | y |\n| -2 | -11 |\n| 5 | 10 |\n| 12 | 31 |\n| 19 | 52…

a line passes through the points in this table.\n| x | y |\n| -2 | -11 |\n| 5 | 10 |\n| 12 | 31 |\n| 19 | 52 |\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| -2 | -11 |\n| 5 | 10 |\n| 12 | 31 |\n| 19 | 52 |\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 $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Select two points

Let's take the points $(-2,-11)$ as $(x_1,y_1)$ and $(5,10)$ as $(x_2,y_2)$.

Step3: Calculate the slope

$m=\frac{10-(-11)}{5 - (-2)}=\frac{10 + 11}{5+2}=\frac{21}{7}=3$.

Answer:

$3$