Question

Which of the following is the equation of a line that passes through the point(1.4) and is parallel to the x-axis?A. x = 4B. x = 1C. y = 4O D. y = 1

Answer 1

y = 4 (Option C)

Step-by-step explanation

We want to find the equation of the line that is parallel to the x axis and passes through point (1, 4)

First, it is important to note that all lines parallel to the x axis have gradient of zero (0).

Now, the equation of a line can generally br found by using:

`y-y_1=m(x-x_1)`

where m = gradient/slope

x1, y1 = cordinates of the point that the line passes through.

Therefore:

`\begin{gathered} x_1=\text{ 1} \\ y_1\text{ = 4} \end{gathered}`

Therefore, for the given line:

`\begin{gathered} y\text{ - 4 = 0(x - 1)} \\ y\text{ - 4 = 0} \\ \Rightarrow\text{ y = 4} \end{gathered}`

That is the equation of the line.