To find the slope of the line defined by the two sets of points given, we first need to identify what each set of numbers may represent.
Assuming the first row corresponds to the x-coordinates and the second row to the y-coordinates, we can represent our points as:
- Point 1: (1, 3)
- Point 2: (4, 8)
- Point 3: (7, 13)
- Point 4: (10, 18)
We can calculate the slope between any two points using the formula:
\[ \text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1} \]
Let's calculate the slope between Point 1 (1, 3) and Point 2 (4, 8):
\[ m = \frac{8 - 3}{4 - 1} = \frac{5}{3} \]
You can calculate the slope between any other pairs of points in a similar manner, and you will find that the slope remains consistent because the relationship appears linear.
Since these points are evenly spaced apart, you can also check the slope between Point 2 (4, 8) and Point 3 (7, 13):
\[ m = \frac{13 - 8}{7 - 4} = \frac{5}{3} \]
And between Point 3 (7, 13) and Point 4 (10, 18):
\[ m = \frac{18 - 13}{10 - 7} = \frac{5}{3} \]
All pairs yield a slope of \(\frac{5}{3}\).
Thus, the slope is \(\frac{5}{3}\).