Math Problem Statement

What is the y-intercept of the graph shown below?

Solution

To determine the y-intercept of the graph shown, we need to find where the graph crosses the y-axis.

From the graph:

  • The y-axis is where x=0x = 0.
  • By looking at the graph closely, the line crosses the y-axis at y=4y = 4.

Thus, the y-intercept is 44.


Would you like me to explain how to find the y-intercept algebraically or in any other way?

Related Questions:

  1. What does the y-intercept represent in real-world scenarios?
  2. How do you identify the y-intercept from a linear equation in slope-intercept form (y=mx+by = mx + b)?
  3. What is the slope of the line in this graph, and how is it determined?
  4. How do you find the x-intercept of a line on a graph?
  5. What are the steps to graph a line given its slope and y-intercept?

Tip:

To find the y-intercept of a line algebraically, substitute x=0x = 0 into the equation of the line and solve for yy.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Graphing
Y-Intercept

Formulas

Slope-Intercept Form: y = mx + b

Theorems

The y-intercept occurs where x = 0

Suitable Grade Level

Grades 6-8