Find the gradient of the line that passes through the points (1,−2) and (4,7).
Question
Find the gradient of the line that passes through the points (1,−2) and (4,7).
Solution
The gradient (or slope) of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Here, the two points are (1, -2) and (4, 7). So, x1 = 1, y1 = -2, x2 = 4, and y2 = 7.
Substitute these values into the formula:
m = (7 - (-2)) / (4 - 1) m = 9 / 3 m = 3
So, the gradient of the line that passes through the points (1, -2) and (4, 7) is 3.
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