Answer:
[tex]x = 1[/tex]
Step-by-step explanation:
Given:
The equation of the given line is [tex]x=-5[/tex].
A line of the form [tex]x=a[/tex], where [tex]a[/tex] is a constant, is a line parallel to y axis and has x-intercept equal to [tex]a[/tex].
Here, the line [tex]x=-5[/tex] is parallel to y axis and has x-intercept equal to -5.
Now, another line is parallel to the line [tex]x=-5[/tex], so this line is also parallel to y axis.
This line also passes through the point [tex](1,4)[/tex]. So, the x-intercept will be equal to the x co-ordinate of the point [tex](1,4)[/tex].
Therefore, the equation of the line passing through the point [tex](1,4)[/tex] and parallel to the line [tex]x=-5[/tex] is [tex]x = 1[/tex].
