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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).

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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.

Similar Questions

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Determine the gradient of the straight line that passes through points (−1, 12) and (3, 15).

Calculate the point-slope form of the equation of a line passing through the point (4,7) with a slope of −1.*5 pointsy-7 = -x+4y+7 = -x+4y-7 = x-4y+7 = -x-4

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