Final answer:
The slope of the line passing through points (-1,-4) and (1,-5) is calculated using the slope formula, resulting in a slope of -1/2, indicating a line with a negative slope.
Step-by-step explanation:
To find the slope of a line passing through two points, we can use the slope formula:
m = ∆y / ∆x = (y2 - y1) / (x2 - x1)
For the points (-1,-4) and (1,-5), the slope can be calculated as follows:
- Choose (-1,-4) as (x1, y1) and (1,-5) as (x2, y2).
- Compute the changes in y and x: ∆y = -5 - (-4) = -1 and ∆x = 1 - (-1) = 2.
- Divide the change in y by the change in x to get the slope: m = -1 / 2.
Therefore, the slope of the line passing through the points (-1,-4) and (1,-5) is -1/2, which indicates a straight line with a negative slope.