which of the following is the equation of a line that passes through the point (1,4) and is parallel to the x-axis?

Question

jim_thompson5910 · Answer

The x-axis is the horizontal axis

ANY line parallel to the horizontal axis will also be horizontal

So this line, whatever it is, we know it's a horizontal line.

jim_thompson5910 · Answer

The equation of any horizontal line is $\Large y = k$ where k is any fixed number.

To force this horizontal line to go through $\Large (1,4)$, we need to make $\Large k = 4$. 
Take note how the y coordinate is 4.

So the equation of this parallel line is simply $\Large y = 4$ and that's all there is to it.

jim_thompson5910 · Answer

Take a look at the the attached image to see the graph.