Question

Find the gradient of the line segment between the points (4,6) and (8,14).

Answer 1

Answer:

The gradient of a line segment is a measure of how steep the line is. A line with a large gradient

will be steep; a line with a small gradient will be relatively shallow; and a line with zero gradient

will be horizontal.

We can quantify this precisely as follows.

Consider Figure 1 which shows three line segments. The line segment AD is steeper than the

line segment AC. In turn, this is steeper than AB which is horizontal. We can quantify this

steepness mathematically by measuring the relative changes in x and y as we move from the

beginning to the end of the line segment.

Step-by-step explanation:

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