Final answer:
The slope between the points (-1,2) and (4,3) is 1 / 5, expressing a change in the y-coordinate of 1 over a change in the x-coordinate of 5.
The correct option is a.
Step-by-step explanation:
To find the slope (m) between two points (x_1, y_1) and (x_2, y_2), you can use the formula:
m = {y_2 - y_1} / {x_2 - x_1}
Given the points -1, 2 and 4, 3, let's calculate the slope:
m = 3 - 2 / 4 - (-1)
m = 1 / 5
So, the correct answer is:
a) 1 / 5