# Thread: equation of the line that passes through the point

1. ## equation of the line that passes through the point

which one of the following is the equation of the line that passes through the point (-5,7) and is parallel to the y-axis?

1. y = -5
2. y = 7
3. x = -5
4. x = 7
5. y = 5/7

2. Originally Posted by Alexander
which one of the following is the equation of the line that passes through the point (-5,7) and is parallel to the y-axis?

1. y = -5
2. y = 7
3. x = -5
4. x = 7
5. y = 5/7
Any line which is parallel to y-axis must have the equation $x=k$ for some number $k$.

Since it must pass through $(-5,7)$ we see that $k=-5$ (the x-coordinate).