To find the slope of a line passing through two points (x1, y1) and (x2, y2), we use the formula:
slope = (y2 - y1) / (x2 - x1)
Here, the points given are (-4, 3) and (6, 8). We can treat (-4, 3) as (x1, y1) and (6, 8) as (x2, y2).
Substituting these values into the formula, we get:
slope = (8 - 3) / (6 - (-4))
1. First, solve for 8 - 3 in the numerator (top). The difference of 8 and 3 is 5.
2. Then solve for 6 - (-4) in the denominator (bottom). By subtracting -4 from 6, it becomes addition and the sum of 6 and 4 is 10.
Hence, the slope is calculated as 5 / 10, which simplifies to 0.5.
Therefore, the slope of the line that passes through the points (-4,3) and (6,8) is 0.5 or 1/2.