Graph y=4x+6

Problem

y=4*x+6

Solution

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

2. Determine the y-intercept by looking at the constant b which is 6 This corresponds to the point (0,6) on the graph.

3. Determine the slope m which is 4 This can be written as the fraction 4/1 representing the "rise over run."

4. Plot the y-intercept at (0,6)

5. Find a second point by starting at (0,6) and moving up 4 units and right 1 unit to reach (1,10)

6. Draw a straight line passing through the points (0,6) and (1,10) to complete the graph.

Final Answer

y=4*x+6

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