a line passes through the points in this table.\n| x | y |\n| -25 | -34 |\n| -10 | -10 |\n| -5 | -2 |\n| 5 |…

a line passes through the points in this table.\n| x | y |\n| -25 | -34 |\n| -10 | -10 |\n| -5 | -2 |\n| 5 | 14 |\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| -25 | -34 |\n| -10 | -10 |\n| -5 | -2 |\n| 5 | 14 |\nwhat is the slope of the line?\nwrite your answer as an integer or simplified fraction.

Answer

Explanation:

Step1: Recall slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Choose two points

Let's take the points $(-10,-10)$ and $(5,14)$. Here $x_1=-10,y_1 = - 10,x_2=5,y_2 = 14$.

Step3: Calculate the slope

$m=\frac{14-(-10)}{5-(-10)}=\frac{14 + 10}{5 + 10}=\frac{24}{15}=\frac{8}{5}$

Answer:

$\frac{8}{5}$