Graph y=-2/3x+2

Problem

y=−2/3*x+2

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 b which is 2 This corresponds to the point (0,2) on the coordinate plane.

3. Determine the slope by looking at the coefficient m which is −2/3 This represents the ratio of vertical change to horizontal change, or rise/run

4. Plot the first point at the y-intercept (0,2)

5. Find a second point by applying the slope. From (0,2) move down 2 units and right 3 units to arrive at the point (3,0)

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

Final Answer

y=−2/3*x+2

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