Question

Given A(2, - 4) and B(1,0)as the coordinates of points A and B, which is the slope of AB ?

Answer 1

The slope of the line passing through points A(2, -4) and B(1,0) is -4.

Step-by-step explanation:

The slope of a line passing through two points can be found using the formula:

slope = (y2 - y1) / (x2 - x1)

Given A(2, -4) and B(1,0), we can calculate the slope as follows:

1. Identify the coordinates of point A: x1 = 2, y1 = -4
2. Identify the coordinates of point B: x2 = 1, y2 = 0
3. Calculate the difference in y-coordinates: y2 - y1 = 0 - (-4) = 4
4. Calculate the difference in x-coordinates: x2 - x1 = 1 - 2 = -1
5. Divide the difference in y-coordinates by the difference in x-coordinates: slope = 4 / -1 = -4

Therefore, the slope of line AB is -4.