If we want to graph a horizontal line, we will do the following:
No matter the domain for x, the range for y will always be 3. Therefore, we have a horizontal line.
Now the formula to graph a vertical line looks like this:
Well, wait a second. Where is the y? I would like to see the y in the equation. But it is missing. How can I write the equation for a vertical line that includes the y variable? This is all I can think of:
And with the following domain:
Is this correct? Is it ok to reverse the x and y, as I just did above? Or does this not make it a slope-intercept equation anymore? It should still be a linear equation, since the variables are raised to the first power, in my opinion. But the slope-intercept form looks like this: y = mx + b. So I am not sure if this is still a slope-intercept equation.