A straight line is drawn through the points with coordinates (–3, 26) and (5, 2).Calculate the gradient of the line.
Question
A straight line is drawn through the points with coordinates (–3, 26) and (5, 2).Calculate the gradient of the line.
Solution
The gradient of a line is calculated using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
In this case, (x1, y1) = (-3, 26) and (x2, y2) = (5, 2).
So, substituting these values into the formula gives:
m = (2 - 26) / (5 - (-3))
= -24 / 8
= -3
So, the gradient of the line is -3.
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