Question

Draw the graph of the following line:

y + 6 = 0

Answer 1

The graph of the equation y + 6 = 0 is a horizontal line that passes through the point (0, –6) on the y-axis.

1. Isolate the variable

We first rewrite the equation in the standard linear form y = mx + c.

y + 6 = 0

⇒ y = –6

2. Determine the Slope and Intercept

In the form y = mx + c:

The slope (m) is 0, because there is no x term. A slope of 0 indicates the line is perfectly horizontal.

The y-intercept (c) is –6. This means the line crosses the y-axis at the coordinate (0, –6).

3. Plot the line

Since y is always –6 regardless of the value of x, the line extends infinitely to the left and right, maintaining a constant height of 6 units below the x-axis.