Identify the Matching Equation: Analyze the Graph Function Representation

Which of the following equations corresponds to the function represented in the graph?

Video Solution

Solution Steps

00:00 Find the appropriate equation for the function in the graph

00:04 We want to find the slope of the graph

00:08 Let's take 2 points on the graph

00:13 We'll use the formula to find the function graph's slope

00:17 We'll substitute appropriate values according to the given data and solve to find the slope

00:22 This is the slope of the graph

00:27 We'll use the linear equation

00:31 We'll substitute appropriate values and solve to find B

00:39 This is the value of B (intersection point with Y-axis)

00:42 We'll construct the linear equation using the values we found

00:46 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

Step 1: Identify the type of line
The graph illustrates a horizontal line at $y = -2$ . Horizontal lines have a constant y-value across all x-values.
Step 2: Recognize the equation of the line
A horizontal line has the form $y = c$ , where $c$ is a constant. Here, $c = -2$ .
Step 3: Match with given options
Among the given choices, $y = -2$ correctly represents the function for the graph as it shows a line intersecting the y-axis at -2 and running parallel to the x-axis.

Therefore, the solution to the problem is $y = -2$ , which corresponds to choice id "3".