Write the equation of a line that is parallel to x=-5 and passes through the point(1,4)

Answer 1

The best way is to draw the line x=-5. You would see this is a line that is parallel to y axis and passes through x=-5, which is on the left-hand side of the y-axis. Our new line is parallel to this line, but the value of x is position, which means it is on the right-hand side of the y-axis. Draw a line parallel to y axis and pass through x=4; that is your new line, which also passes through y=1. So the equation of the line is x=4

Answer 2

This is not a difficult problem, if you realize that x = -5 is a vertical line. Any line parallel to a vertical line is also vertical. The equation of all vertical lines is in the form x = a where a is the x-intercept. If a vertical line passes through the point (1, 4) it's x-intercept must be (1, 0). So a = 1 and the line is x = 1. There isn't much work for this problem you just need to know how to write the equation of a vertical line.

Answer 3

All lines of the form x = h are parallel to x = -5