work out the equation of the line which has a gradient of 2 and passes through the point (2, 5).
We can use the point-slope form of the equation of a line: y - y1 = m(x - x1), where m is the gradient and (x1, y1) is a point on the line.
In this case, we have m = 2 and (x1, y1) = (2, 5). Plugging these values into the equation, we get:
y - 5 = 2(x - 2)
Expanding and rearranging, we get:
y - 5 = 2x - 4
y = 2x + 1
Therefore, the equation of the line with a gradient of 2 and passing through the point (2, 5) is y = 2x + 1.