Question

Work out the equation of a line which has a gradient of 2 and passes through the point (1,4)

Answer 1

y=2x+2

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Answer 2

Y=2x+2

Explanation:

The equation of a line with gradient "m" and passing through the point (x1, y1) can be found using the point-slope form of a line:

y - y1 = m (x - x1)

For a gradient of 2 and a point of (1, 4), we can substitute the values into the equation:

y - 4 = 2 (x - 1)

Expanding the right-hand side, we get:

y - 4 = 2x - 2

Adding 4 to both sides:

y = 2x + 2

So, the equation of the line with a gradient of 2 and passing through the point (1, 4) is y = 2x + 2.