Final answer:
The point-slope form of the line passing through (-4, -1) and (5, -4) is y + 1 = -1/3(x + 4), found by calculating the slope as -1/3 and applying it to the point-slope formula using one of the points.
Step-by-step explanation:
The equation in point-slope form of the line passing through the points (-4, -1) and (5, -4) starts by finding the slope. To find the slope (m), we calculate the rise over run using the formula m = (y2 - y1) / (x2 - x1), which in this case is m = (-4 - (-1)) / (5 - (-4)) = -3 / 9 = -1/3. Once we have the slope, we can plug a point and the slope into the point-slope formula, y - y1 = m(x - x1). Using the point (-4, -1), the point-slope form equation of the line is y - (-1) = -1/3(x - (-4)), or y + 1 = -1/3(x + 4).