Question

What is the equation of a line that contains the points (5, 0) and (5, −2)?

x = 5
x = 0
y = 0
y = 5

Answer 1

x = 5

Explanation:

right from the start you can see that both the coordinates share the same x-ordinate,

i.e x = 5

Which means that the line x=5 passes through these 2 points.

Which happens to be the answer to your question

Answer 2

The equation x=5 contains the points (5,0) and (5,-2).

Explanation:

Remember, the x coordinate goes before the y coordinate (x,y). Therefore, we know from the start that our x variable stays the same since they are both 5. However, our y variable is changing. The equation x=5 would give us a horizontal line where x=5 and y could go to infinity in either direction.

Note:

x=0 would give you points like (0, 5) and (0, -2)

y=0 would give you points like (5,0) and (-2, 0)

y=5 would give you points like (5,5) and (-2,5)