Find x-coordinate on AB

Consider the following points in a coordinate plane: A(2, 3), B(5, 7), and C(x, 4). The point C lies on the segment AB. Determine the value of x.

To find the value of x, you need to utilize the concept of the slope of the line segment connecting points A and B. The slope between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula:

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

Now find the slope of segment AB and apply it to find the x-coordinate of point C which lies on that line segment.