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: