Graph y=4x+5

Problem

y=4*x+5

Solution

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

2. Determine the y-intercept from the constant term b=5 which gives the starting point (0,5) on the y-axis.

3. Identify the slope m=4 which can be written as the fraction 4/1

4. Apply the slope to find a second point by moving up 4 units and right 1 unit from the y-intercept, resulting in the point (1,9)

5. Draw a straight line passing through the points (0,5) and (1,9) to complete the graph.

Final Answer

y=4*x+5

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