Question

The y–coordinate of all points on a given line is 4. What is the equation of this line?

Answer 1

y = 4

Explanation:

Since all the y coordinates are 4, y always equals 4.

Therefore, the equation is y = 4.

Answer 2

ANSWER


`y = 4`

EXPLANATION

Since the y-coordinate of all the points on a given line is 4, it means the line is parallel to the x-axis and has slope, zero.

The equation of all lines parallel to the x-axis that pass through:


`(x_1,y_1)`

is


`y = y_1`

Since the line passes through


`(x_1,4)`

or

(0,4)

Its equation is:


`y = 4`

See attachment for graph.