Question

The slope equals zero and it passes through the point (1, -4). Find the equation of the line.

Answer 1

y = -4

Explanation:

Whenever your rate of change [slope] is 0, it is a horizontal line, therefore you have the above answer.

Answer 2

y = -4

Explanation:

A line with slope zero is a horizontal line. All points on a horizontal line have the same y-coordinate.

The equation of a horizontal line is

y = k,

where k is the y-coordinate of every point on the line.

Since we are told this line passes through the point (1, -4), and the y-coordinate of (1, -4) is -4, then every point on the line has y-coordinate -4.

The equation is

y = -4