Math Problem Statement

Click on the zero of the graph.

Solution

In the image, you're asked to find the zero of the graph. The zero of a graph refers to the point where the line crosses the x-axis, meaning where the y-value is 0.

Looking at the graph, the green line crosses the x-axis at approximately x=2x = -2. This is the point where y=0y = 0, so the zero of the graph is x=2x = -2.

Do you have any questions or need further details?

Here are five related questions to expand your understanding:

  1. How can you find the zero of a function algebraically?
  2. What does the slope of this line represent?
  3. How would the graph change if the slope were negative?
  4. How do you interpret the y-intercept of this line?
  5. What are the practical applications of finding the zero in real-world problems?

Tip: To find the zero of any linear function, set y=0y = 0 in the equation and solve for xx.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Zeros of a Function
Graphing

Formulas

y = mx + b (slope-intercept form)
Zero of the function: y = 0

Theorems

The zero of a linear function occurs where y = 0 on the graph

Suitable Grade Level

Grades 7-9