Finding the Value of x for Collinearity

In a coordinate plane, points A(1, 2), B(4, 6), and C(x, 3) are collinear. Determine the value of x that satisfies this condition.

To find the value of x, you can use the concept of the slope between two points. The slope between any two points (x₁, y₁) and (x₂, y₂) is given by the formula:

$$ m = \f\frac{y_2 - y_1}{x_2 - x_1} $$

In this case, you can calculate the slope between points A and B and set it equal to the slope from A to C.