To find the slope of the line passing through the points (-1, 4) and (14, -2), you can use the formula for slope:
1. Calculate the slope using the formula:
slope = (y2 - y1) / (x2 - x1)
2. Substitute the coordinates into the formula:
slope = (-2 - 4) / (14 - (-1))
slope = (-6) / (15)
slope = -6 / 15
3. Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 3 in this case:
slope = -2 / 5
Therefore, the slope of the line passing through the points (-1, 4) and (14, -2) is -2/5. This means that for every 1 unit increase in the x-coordinate, the y-coordinate decreases by 2/5 units.
