Graph y=2/3x-4

Problem

y=2/3*x−4

Solution

1. Identify the equation type as a linear equation in slope-intercept form, which is y=m*x+b

2. Determine the y-intercept by looking at the constant b Here, b=−4 so the graph crosses the y-axis at the point (0,−4)

3. Determine the slope by looking at the coefficient m Here, m=2/3 which represents the ratio of vertical change (rise) to horizontal change (run).

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

5. Find a second point by applying the slope to the y-intercept. From (0,−4) move up 2 units and right 3 units to reach the point (3,−2)

6. Draw the line through the points (0,−4) and (3,−2) to complete the graph.

Final Answer

y=2/3*x−4

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