Which of the following lines is parallel to x = 7? (2 points) a 3y = 7 b y = 7 c x = y d x = 4

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 .

x = 3 ± √(5+y)