Its slope-intercept form

Given the slope = 0, and the y-intercept = 2:

The equation of the line is y = 2. It represents a horizontal line with a zero slope. Horizontal lines have the same y-coordinate, regardless of its corresponding x-coordinate.

Even though we could express horizontal lines in slope-intercept form, y = 0x + 2, it is counterproductive to do so because the slope of the equation is zero. Any input used and multiplied with a zero slope becomes 0.

For example, let's suppose that x = 4. Using the given equation:

y = 0x + 2
y = 0(4) + 2
y = 0 + 2
y = 2

As you can see, the end result matches the equation that were provided in the previous parts of this post. Regardless of any x-values used as input into the equation, the result will always be y = 2.

Therefore, the equation that represents a slope = 0, and a y-intercept of 2 is:

y = 0x + 2 or simply, y = 2.