Graphing And Linear Equations With Y = X + 6

y = x + 6

What is the rule for the function?

The equation y = x + 6 represents a straight line with a slope of 1 and y-intercept of 6. This means that for every unit increase in x, there will be a corresponding one-unit increase in y. To graph this equation, you can start by plotting the y-intercept, which is (0, 6).

From there, you can use the slope to find more points on the line, such as (1, 7), (2, 8), (-1, 5), and (-2, 4). Plot these points and connect them with a straight line, which represents the graph of the equation y = x + 6.

You can also use the equation to solve for specific values of x or y. For example, if y = 10, then x = 4. Or if x = 2, then y = 8.

Finally, it is important to note that this equation represents a linear relationship between x and y. As such, it is valid only for a specific range of values and may not accurately model more complex relationships between variables.

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