Answer:
The correct option is: A. X= -4
Step-by-step explanation:
The equation of the given line is: [tex]x=7[/tex]
As the given line is a vertical line parallel to y-axis, that means the slope of the line is 'undefined' or [tex]\frac{k}{0}[/tex], where [tex]k[/tex] is any real number.
Now, the slope of the line which is parallel to the given line will be also [tex]\frac{k}{0}[/tex], as the slopes of parallel lines are always equal.
The parallel line is passing through the point (-4, 1). So, using point-slope form.......
[tex]y-y_{1}= m(x-x_{1})\\ \\ y-1=\frac{k}{0}(x-(-4))\\ \\k(x+4)=0\\ \\ x+4=0\\ \\ x=-4[/tex]
Thus, the equation of the parallel line will be: [tex]x=-4[/tex]
