Question

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

Answer 1

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.

Answer 2

Answer:

y = 4

Step-by-step explanation:

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

Therefore, the equation is y = 4.