To determine the slope of the line passing through the points (3, 0) and (2, 7), we use the formula for slope, which is:
m = (y2 – y1) / (x2 – x1)
Here, (x1, y1) = (3, 0) and (x2, y2) = (2, 7).
Substituting the values into the formula:
m = (7 – 0) / (2 – 3)
This simplifies to:
m = 7 / (-1)
Thus, m = -7.
So, the slope of the line passing through the points (3, 0) and (2, 7) is -7. This negative slope indicates that the line descends as we move from the left to the right.