To find the slope of the line that passes through the two points (2, 6) and (7, 0), we use the slope formula, which is:
slope (m) = (y2 – y1) / (x2 – x1)
In our case, the first point (x1, y1) is (2, 6) and the second point (x2, y2) is (7, 0).
Now, let’s substitute the values into the slope formula:
m = (0 – 6) / (7 – 2)
This simplifies to:
m = (-6) / (5)
So, the slope is:
m = -1.2
This means the slope of the line is -1.2, indicating that the line goes downwards as you move from left to right.