Answer:
undefined
Explanation:
To find the slope of the line passing through the points (4, 7) and (4, -6), we can use the slope formula:
m = (y₂ - y₁) / (x₂ - x₁)
Substituting the coordinates of the points (4, 7) and (4, -6) into the formula:
m = (-6 - 7) / (4 - 4)
m = (-13) / (0)
The denominator is zero, which means the line is vertical and parallel to the y-axis. When the denominator is zero, the slope is undefined.
Therefore, the line passing through the points (4, 7) and (4, -6) has an undefined slope.