Graph y=-2/3x+3

Problem

y=−2/3*x+3

Solution

1. Identify the slope and y-intercept from the equation, which is in the slope-intercept form y=m*x+b

2. Determine the y-intercept by looking at the constant term b=3 which corresponds to the point (0,3)

3. Determine the slope m=−2/3 which represents the "rise over run."

4. Plot the first point at the y-intercept (0,3) on the coordinate plane.

5. Find a second point by starting at (0,3) and applying the slope: move down 2 units (rise) and right 3 units (run) to reach the point (3,1)

6. Draw a straight line passing through the points (0,3) and (3,1) to complete the graph.

Final Answer

y=−2/3*x+3

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