Graph y=3x-6

Problem

y=3*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 gives the point (0,−6)

3. Determine the slope m which is 3 This means for every 1 unit moved to the right, the graph moves up 3 units.

4. Calculate a second point using the slope. Starting from (0,−6) move right 1 and up 3 to reach (1,−3)

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

0=3*x−6

6=3*x

x=2

6. Plot the points (0,−6) (1,−3) and (2,0) on a coordinate plane and draw a straight line through them.

Final Answer

y=3*x−6

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