The gradient of the line passing through the points with coordinates (8, 5) and (16, 7) is:

Question

BlackTom AI · Accepted Answer

The question asks for the gradient (slope) of the line passing through the points (8, 5) and (16, 7).

First, recall the slope formula: m = (y2 - y1) / (x2 - x1).

Using the given coordinates, take (x1, y1) = (8, 5) and (x2, y2) = (16, 7). Then the numerator is y2 - y1 = 7 - 5 = 2, and the denominator is x2 - x1 = 16 - 8 = 8.

Plugging these values into the formula yields m = 2 / 8 = 0.25 (which is the same as 1/4).

So, the gradient of the line is 0.25.

Note: The provided data includes an empty set of answer options. In a typical multiple-choice setup, one would select the option that states the slope is 0.25, or 1/4. If options were present, you would compare each option to 0.25 and choose the one that matches exactly.

The gradient of the line passing through the points with coordinates (8, 5) and (16, 7) is:

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