Final answer:
The slope for a line passing through points A(-2, 1) and B(4, 2), and points A(5, 3) and B(-1, 2) are both 0.1667. This calculation is based on the slope formula, which divides the difference in y-coordinates by the difference in the x-coordinates for the given points.
Step-by-step explanation:
To find the slope of a line passing through two points A and B, you can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of points A and B, respectively. Applying this formula to the given point pairs:
For points A(-2, 1) and B(4, 2), the slope m is calculated as follows:m = (2 - 1) / (4 - (-2)) = 1 / 6 = 0.1667For points A(5, 3) and B(-1, 2), the slope m is:m = (2 - 3) / (-1 - 5) = -1 / -6 = 0.1667
Therefore, the slopes for the lines passing through the given point pairs are 0.1667, indicating both lines are relatively flat and have a slight positive incline.