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.
