Chapter 4.1, Problem 30PPS

To determine

To graph: Sketch the graph of the equation $y=-\frac{2}{3}$ .

Explanation of Solution

Given information: The given equation of the line is written as $y=-\frac{2}{3}$ .

Graph: Since, an equation of the form $y=k$ where $k$ is any constant is a horizontal straight line parallel to $x-axis$ at a distance $k$ units from $x-axis$ . Therefore, the graph of the straight line $y=-\frac{2}{3}$ is a horizontal straight line parallel to $x-axis$ at a distance $-\frac{2}{3}$ units from $x-axis$ as shown

  

Interpretation: The obtained graph is a horizontal straight line parallel to $x-axis$ at a distance $-\frac{2}{3}$ units from $x-axis$ .