Math Problem Statement
Solution
To graph the linear equation , it's helpful to follow these steps:
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Identify the equation type: This is a linear equation in terms of . It represents a straight line, and it has the form , where is the slope, and is the y-intercept.
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Plot the y-intercept: Start by plotting the point where the line crosses the y-axis. This is the y-intercept, which is .
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Use the slope to find another point: The slope is 2, which means for every 1 unit you move to the right along the x-axis, you move 2 units up on the y-axis. From the point , move 1 unit to the right to , and then move up 2 units. This gives the point .
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Draw the line: Connect these two points with a straight line, and extend it in both directions.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Graphing
Formulas
y = mx + b
Theorems
Slope-intercept form
Suitable Grade Level
Grades 7-9