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Write the equation of the line passing through the point (1, 2) with angle coefficient k=2

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Answer:

To find the equation of a line passing through a given point with an angle coefficient, we need to use the point-slope form of a linear equation. The point-slope form is given by:

y - y₁ = k(x - x₁),

where (x₁, y₁) is the given point and k is the angle coefficient.

Substituting the values (x₁, y₁) = (1, 2) and k = 2 into the equation, we get:

y - 2 = 2(x - 1).

Simplifying, we have:

y - 2 = 2x - 2.

Finally, we can rewrite the equation in slope-intercept form:

y = 2x - 2 + 2,

y = 2x.

Therefore, the equation of the line passing through the point (1, 2) with an angle coefficient k = 2 is y = 2x.

Explanation:

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