Question

What is the equation of the line that is parallel to the given line and passes through the point (−4,−6 )?

A. x = −6
B. x = −4
C. y = −6
D. y = −4

Answer 1

The question says that the line is parallel to the line above, so it is horizontal.  When the line is horizontal it will be a 'Y='  Then, you take a look at the y axis and check to see what part of the axis the line is going through.  Therefore, you can figure out that the awnser is C.  I hope this explanation helps!

Answer 2

we know that

The given line is parallel to the x-axis

so

the equation of the line that is parallel to the given line and passes through the point $(-4,-6 )$ will be equal to the y-coordinate of the point

The y-coordinate of the point is $-6$

therefore

the equation is

$y=-6$

the answer is the option C

$y=-6$