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Find the gradient of the straight line passing through the points (2, 3) and (1, 6)

Question

Find the gradient of the straight line passing through the points (2, 3) and (1, 6)

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Solution

To find the gradient of the straight line passing through the points (2, 3) and (1, 6), we can use the formula:

Gradient = (change in y) / (change in x)

First, let's calculate the change in y. The y-coordinate of the first point is 3, and the y-coordinate of the second point is 6. So, the change in y is 6 - 3 = 3.

Next, let's calculate the change in x. The x-coordinate of the first point is 2, and the x-coordinate of the second point is 1. So, the change in x is 1 - 2 = -1.

Now, we can substitute these values into the formula:

Gradient = (change in y) / (change in x) = 3 / -1 = -3

Therefore, the gradient of the straight line passing through the points (2, 3) and (1, 6) is -3.

This problem has been solved

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