Question

Find the equation of the line parallel to x = 5 containing the point (4, 2).

a) x = 4
b) y = 2
c) y = x - 2
d) x = 2

Answer 1

The equation of the line parallel to x = 5 and containing the point (4, 2) is x = 4, as it is a vertical line through the x-coordinate of the point.

Step-by-step explanation:

The equation of the line parallel to x = 5 and containing the point (4, 2) is x = 4. The equation x = 5 represents a vertical line. A line parallel to a vertical line is also vertical. Therefore, the line we are seeking is a vertical line that passes through the x-coordinate of the given point, which is 4. Thus, the equation of the line is x = 4, making option a) x = 4 the correct answer.