Math Problem Statement

show me a oic on where i should graph

show me a pic on where I should graph y = 2x + 2

Solution

To graph the equation y=2x+2y = 2x + 2, follow these steps:

  1. Understand the equation:
    The equation y=2x+2y = 2x + 2 is in slope-intercept form y=mx+by = mx + b, where:

    • m=2m = 2 is the slope.
    • b=2b = 2 is the y-intercept.
  2. Plot the y-intercept:
    The y-intercept is (0,2)(0, 2). Locate 22 on the y-axis and mark that point.

  3. Use the slope to find another point:
    The slope 22 means "rise 2, run 1." Starting at (0,2)(0, 2), move up 2 units and right 1 unit to plot the next point, (1,4)(1, 4).
    Similarly, you can move in the opposite direction: down 2 units and left 1 unit, marking (1,0)(-1, 0).

  4. Draw the line:
    Use a straightedge to draw a line through these points. Extend the line across the graph.

Here’s a description of points to plot on the given grid:

  • First point: (0,2)(0, 2).
  • Second point: (1,4)(1, 4).
  • Third point (optional): (1,0)(-1, 0).

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Math Problem Analysis

Mathematical Concepts

Graphing Linear Equations
Slope-Intercept Form

Formulas

y = mx + b

Theorems

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Suitable Grade Level

Grades 7-9