Math Problem Statement
what is y=2x+3 graphed
Solution
The equation represents a linear equation, where:
- The slope () is , indicating the line rises 2 units for every 1 unit it moves to the right.
- The y-intercept () is , meaning the line crosses the y-axis at .
Key Points for the Graph:
- Start at the y-intercept: .
- Use the slope (or ) to find more points:
- From , move up 2 units and right 1 unit to .
- Alternatively, move down 2 units and left 1 unit to .
- Draw a straight line through these points.
Graph Description:
The line will be upward sloping, passing through the points , , , 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