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Work out the y-intercept of the straight line with a gradient of 2 that passes through the point (3, 10).

Work out the y-intercept of the straight line with a gradient of 2 that passes through the point (3, 10).

Answer

To find the y-intercept of the line, use the equation of a straight line: y = mx + c, where m is the gradient and c is the y-intercept.

Given: m = 2 and the point (3, 10).

Substitute the point into the equation: 10 = 2(3) + c.

Solve for c: 10 = 6 + c.

Therefore, c = 4.

The y-intercept is 4.

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