Graph y=2x+4

Problem

y=2*x+4

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 Here, b=4 so the graph crosses the y-axis at the point (0,4)

3. Determine the slope m from the coefficient of x Here, m=2 which can be written as the fraction 2/1

4. Apply the slope to find a second point. Starting from (0,4) move up 2 units (rise) and right 1 unit (run) to reach the point (1,6)

5. Calculate the x-intercept by setting y=0

0=2*x+4

−4=2*x

x=−2

6. Plot the points (0,4) (1,6) and (−2,0) on a coordinate plane and draw a straight line through them.

Final Answer

y=2*x+4

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