Graph y=2/3x

Problem

y=2/3*x

Solution

1. Identify the equation as a linear function in the slope-intercept form y=m*x+b where m is the slope and b is the y-intercept.

2. Determine the y-intercept by looking at the constant term. Since there is no constant added, b=0 meaning the line passes through the origin (0,0)

3. Identify the slope m=2/3 This represents the "rise over run," meaning for every 2 units the graph moves up, it moves 3 units to the right.

4. Plot the first point at the origin (0,0)

5. Find a second point by starting at (0,0) and applying the slope: move up 2 units and right 3 units to reach the point (3,2)

6. Draw a straight line passing through the points (0,0) and (3,2) to complete the graph.

Final Answer

y=2/3*x

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