Final answer:
The slope of the line passing through the coordinates (−1, 5) and (0, 3) is calculated using the slope formula and results in a slope of -2.
Step-by-step explanation:
To calculate the slope of the line passing through the coordinates (−1, 5) and (0, 3), you use the formula for slope, which is m = (y2 - y1) / (x2 - x1). Let's assign these points as follows: Point x = (−1, 5) and Point y = (0, 3). So, x1 = −1, y1 = 5, x2 = 0, and y2 = 3.
Now, plug these values into the slope formula:
m = (3 - 5) / (0 - (−1))
= (-2) / (1)
= -2
Therefore, the slope of the line passing through these points is -2. This value represents a decrease of 2 in the y-value for every increase of 1 in the x-value.