Question

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

A. X = -4

B. X = 1

C. Y = -4

D. Y = 1

Answer 1

The correct option is: A. X= -4

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
`(k)/(0)`, where
`k` is any real number.

Now, the slope of the line which is parallel to the given line will be also
`(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=(k)/(0)(x-(-4))\\ \\k(x+4)=0\\ \\ x+4=0\\ \\ x=-4`

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