Find the gradient of the line joining the points (3, 2) and (1, 4).
Answer Details
The gradient of a line is a measure of how steep the line is. It tells us the rate of change in the vertical direction for every unit change in the horizontal direction.
To find the gradient of the line joining two points, we need to use the formula:
Gradient = (Change in y-coordinate) / (Change in x-coordinate) = (y2 - y1) / (x2 - x1)
Using this formula, the gradient of the line joining the points (3, 2) and (1, 4) is:
Gradient = (4 - 2) / (1 - 3) = (2) / (-2) = -1
So, the gradient of the line joining the points (3, 2) and (1, 4) is -1.