Math Problem Statement

graph the equation y = 2x

Solution

To graph the equation y=2xy = 2x, here’s how to proceed:

Steps:

  1. Identify the slope and y-intercept:

    • The equation is in slope-intercept form, y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.
    • Here, the slope m=2m = 2 and the y-intercept b=0b = 0.
  2. Plot the y-intercept:

    • Start at the origin (0, 0), since b=0b = 0.
  3. 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.
  4. 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