Math Problem Statement
graph the equation y = 2x
Solution
To graph the equation , here’s how to proceed:
Steps:
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Identify the slope and y-intercept:
- The equation is in slope-intercept form, , where is the slope and is the y-intercept.
- Here, the slope and the y-intercept .
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Plot the y-intercept:
- Start at the origin (0, 0), since .
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Use the slope:
- The slope is 2, meaning that for every 1 unit you move to the right (along the x-axis), you move 2 units up (along the y-axis).
- From the origin, move right 1 unit to (1, 2), then move right 1 unit again to (2, 4), and so on.
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Draw the line:
- Connect the points you plotted with a straight line, and extend it in both directions.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Graphing
Formulas
Slope-intercept form: y = mx + b
Theorems
Concept of slope
Linear function properties
Suitable Grade Level
Grades 6-8