Math Problem Statement

what is y=2x+3 graphed

Solution

The equation y=2x+3y = 2x + 3 represents a linear equation, where:

  • The slope (mm) is 22, indicating the line rises 2 units for every 1 unit it moves to the right.
  • The y-intercept (bb) is 33, meaning the line crosses the y-axis at (0,3)(0, 3).

Key Points for the Graph:

  1. Start at the y-intercept: (0,3)(0, 3).
  2. Use the slope 22 (or 21\frac{2}{1}) to find more points:
    • From (0,3)(0, 3), move up 2 units and right 1 unit to (1,5)(1, 5).
    • Alternatively, move down 2 units and left 1 unit to (1,1)(-1, 1).
  3. Draw a straight line through these points.

Graph Description:

The line will be upward sloping, passing through the points (0,3)(0, 3), (1,5)(1, 5), (1,1)(-1, 1), and others along the same trend.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Graphing

Formulas

Slope-intercept form y = mx + b

Theorems

Concept of slope and y-intercept

Suitable Grade Level

Grades 7-9