Answer:
Choice d. is parallel to the line .
Step-by-step explanation:
Refer to the diagram attached. (Created with GeoGebra)
The line is made of all the points on a cartesian plane that meet the requirement . In other words, this line consists of points with x-coordinate . That includes:
That line is perpendicular to the x-axis (the horizontal axis) and intersects the x-axis at the point .
Now, consider the lines in the choices.
The first line requires only that the y-coordinates of its points be 7/3. This line accepts any x-values. Points on this line include:
As a result, this line is parallel to the y-axis and is perpendicular to the line .
Similar to the first, the second line is also parallel to the y-axis and is perpendicular to the line .
The third line requires that the x- and y- coordinates of all its points be equal. Points may include:
This line is slant.
The last line is similar to the given line . This line is also perpendicular to the x-axis. The difference is that this line is three units to the left of the line .