Find the gradient of the line passing through the points (-2, 0) and (0, -4).
Answer Details
To find the gradient of a line passing through two given points, we need to use the formula:
Gradient = (change in y-coordinate) / (change in x-coordinate)
Let's take the two given points: (-2, 0) and (0, -4)
The change in y-coordinate is -4 - 0 = -4 (final y-coordinate - initial y-coordinate)
The change in x-coordinate is 0 - (-2) = 2 (final x-coordinate - initial x-coordinate)
Now, we can substitute the values in the formula:
Gradient = -4 / 2 = -2
Therefore, the gradient of the line passing through the points (-2, 0) and (0, -4) is -2.
Note: The gradient (also known as slope) of a line represents how steep the line is. A positive gradient means the line is sloping upwards, while a negative gradient means the line is sloping downwards. The larger the magnitude of the gradient, the steeper the line.