finding the slope of a line given a table\nfind the slope of the line that passes through the points shown…

finding the slope of a line given a table\nfind the slope of the line that passes through the points shown in the table.\nthe slope of the line that passes through the points in the table is \n| x | y |\n| -14 | 8 |\n| -7 | 6 |\n| 0 | 4 |\n| 7 | 2 |\n| 14 | 0 |

finding the slope of a line given a table\nfind the slope of the line that passes through the points shown in the table.\nthe slope of the line that passes through the points in the table is \n| x | y |\n| -14 | 8 |\n| -7 | 6 |\n| 0 | 4 |\n| 7 | 2 |\n| 14 | 0 |

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: Choose two points

Let's take $(x_1,y_1)=(0,4)$ and $(x_2,y_2)=(7,2)$.

Step3: Substitute values into formula

$m=\frac{2 - 4}{7-0}=\frac{-2}{7}=-\frac{2}{7}$.

Answer:

$-\frac{2}{7}$