Math Problem Statement

What is the y-intercept

Solution

The y-intercept is the point where a graph intersects the y-axis. In other words, it is the value of yy when x=0x = 0 in a given equation. For a linear equation in slope-intercept form, y=mx+by = mx + b, the y-intercept is the constant bb.

For example:

  • In the equation y=2x+3y = 2x + 3, the y-intercept is 3, meaning the graph crosses the y-axis at (0,3)(0, 3).

Would you like more details or further examples?

Here are 5 related questions to explore:

  1. How do you find the y-intercept from a table of values?
  2. What is the relationship between the slope and the y-intercept in a linear equation?
  3. How do you find the y-intercept of a quadratic function?
  4. Can a line have more than one y-intercept? Why or why not?
  5. What

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Graphing

Formulas

y = mx + b (Slope-Intercept Form)

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 6-8