Final answer:
The slope of the line passing through A(-10, 3) and B(0, 3) is 0, which means the line is horizontal. This is found using the slope formula, which in this case, results in no rise over the run, hence a slope of zero.
Step-by-step explanation:
To find the slope of the line passing through points A(-10, 3) and B(0, 3), we use the slope formula which is established by the rise over the run:
Slope (m) = (y2 - y1) / (x2 - x1)
Substituting the given coordinates of A(-10, 3) and B(0, 3) into the formula, we have:
m = (3 - 3) / (0 - (-10))
m = 0 / 10
m = 0
Therefore, the slope of the line is 0, which indicates that the line is horizontal. As the y-coordinates are the same for both points, the line has no rise, which results in a zero slope.