Final answer:
The slope of line AB with endpoints A(-1, 0) and B(4, -3) is -3/5, calculated using the formula for slope which is (change in y) / (change in x).
Step-by-step explanation:
The slope of a line between two points A(-1, 0) and B(4, -3) can be calculated using the slope formula, which is (change in y)/(change in x). This is often written as (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. So, let's calculate the slope using the given points:
- y2 = -3 (the y-coordinate of point B)
- y1 = 0 (the y-coordinate of point A)
- x2 = 4 (the x-coordinate of point B)
- x1 = -1 (the x-coordinate of point A)
Plugging these into the slope formula, we get:
(-3 - 0) / (4 - (-1)) = -3 / (4 + 1) = -3 / 5
Therefore, the slope of line AB is -3/5.