Graph y=x+6

Problem

y=x+6

Solution

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

2. Determine the y-intercept. The constant term is b=6 so the line crosses the y-axis at the point (0,6)

3. Determine the slope. The coefficient of x is m=1 which means for every 1 unit the line moves to the right, it moves 1 unit up.

4. Find a second point. Using the slope from the y-intercept (0,6) move right 1 and up 1 to find the point (1,7)

5. Plot the points (0,6) and (1,7) on a coordinate plane and draw a straight line through them to complete the graph.

Final Answer

y=x+6

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