Questions: Graph the given function.
y=-2
Use the graphing tool to graph the equation.
Click to enlarge graph
Transcript text: Graph the given function.
\[
y=-2
\]
Use the graphing tool to graph the equation.
Click to enlarge graph
Solution
Solution Steps
Step 1: Recognize the type of equation
The given equation y = -2 is a linear equation in the form y = c, where c is a constant. This means it represents a horizontal line.
Step 2: Identify the y-intercept
The equation y = -2 tells us that the y-value is always -2, regardless of the x-value. This means the line intersects the y-axis at the point (0, -2).
Step 3: Plot the line
To graph the equation, draw a horizontal line through the point (0, -2). This line extends infinitely in both the positive and negative x-directions while maintaining a constant y-value of -2.
Final Answer:
The graph is a horizontal line passing through the point (0, -2).