Write in slope-intercept form the equation of the line passing through the points (3,0) and (5,0).

Solution:
1. Given points:
- (x_1, y_1) = (3, 0)
- (x_2, y_2) = (5, 0).

2. Calculate the slope (m) using the formula:
- m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 0}{5 - 3} = \frac{0}{2} = 0.

3. The slope-intercept form of a line is given by:
- y = mx + b.

4. Substitute the slope (m) into the equation:
- y = 0x + b
- Simplifies to y = b.

5. Since both points lie on the x-axis, the y-coordinate is 0. Thus b = 0.

6. The equation of the line in slope-intercept form is:
- y = 0.