Question

5: What is the equation of the line parallel to x = 7, passing through the point (-4, 1)?

Answer 1

Answer:

The correct option is:  A.  X= -4

Step-by-step explanation:

The equation of the given line is:  $x=7$

As the given line is a vertical line parallel to y-axis, that means the slope of the line is 'undefined' or $\frac{k}{0}$, where $k$ is any real number.

Now, the slope of the line which is parallel to the given line will be also $\frac{k}{0}$, as the slopes of parallel lines are always equal.

The parallel line is passing through the point (-4, 1). So, using point-slope form.......

$y-y_{1}= m(x-x_{1})\\ \\ y-1=\frac{k}{0}(x-(-4))\\ \\k(x+4)=0\\ \\ x+4=0\\ \\ x=-4$

Thus, the equation of the parallel line will be:  $x=-4$