Question

Draw the graph of the following line:

y = 4

Answer 1

To graph the line y = 4, draw a horizontal line that crosses the y-axis at the value 4.

Characteristics of the graph

1. Horizontal Orientation: Because the equation does not contain an x variable, the value of y remains constant regardless of what x is. This results in a straight line parallel to the x-axis.

2. Y-Intercept: The line intersects the y-axis at the point (0, 4).

3. Slope: The slope (m) of any horizontal line is 0, as there is no vertical change (“rise”) as you move along the x-axis (“run”).

4. Points on the Line: Every point on this line follows the coordinate format (x, 4). Examples include (–5, 4), (0, 4) and (5, 4).