To find the slope of the line that passes through the points (−1, 6) and (1, 0), you can use the slope formula:
\[ \text{slope (m)} = \frac{y_2 - y_1}{x_2 - x_1} \]
Here, the two points are \((x_1, y_1) = (-1, 6)\) and \((x_2, y_2) = (1, 0)\).
Now substitute the coordinates into the formula:
\[ m = \frac{0 - 6}{1 - (-1)} = \frac{-6}{1 + 1} = \frac{-6}{2} = -3 \]
So, the slope is \(-3\).
If you are looking for the fraction representation, it can be expressed as \(-\frac{3}{1}\).