QUESTION IMAGE
Question
algebra i with probability, slope of a line
finding the slope of a line given a table
find the slope of the line that passes through the points shown in the table.
the slope of the line that passes through the points in the table is
| x | y |
| -14 | 8 |
| -7 | 6 |
| 0 | 4 |
| 7 | 2 |
| 14 | 0 |
Step1: Select two points
Let's take the points $(-14,8)$ and $(-7,6)$.
Step2: Use slope - formula
The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-14,y_1 = 8,x_2=-7,y_2 = 6$. Then $m=\frac{6 - 8}{-7-(-14)}=\frac{-2}{-7 + 14}=\frac{-2}{7}=-\frac{2}{7}$.
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$-\frac{2}{7}$