Graphing The Equation Y=X+2: Step-By-Step Guide With Slope-Intercept Form And Table Of Values

y = x + 2

What is the rule for the function?

The equation y = x + 2 is in slope-intercept form which is y = mx + b where m represents the slope of the line and b represents the y-intercept. In this case, the slope of the line is 1 (the coefficient of x) and the y-intercept is 2.

To graph this equation, you can start by plotting the y-intercept at point (0, 2) on the y-axis. Then you can use the slope to determine other points on the line. Since the slope is 1, you can move up 1 unit and to the right 1 unit to get to the next point on the line. You can continue doing this to sketch the line.

Alternatively, you can also make a table of values by choosing different values of x and plugging them into the equation to find the corresponding values of y. For example, if you let x = 0, then y = 0 + 2 = 2. So (0, 2) is another point on the line. Similarly, if you let x = 1, then y = 1 + 2 = 3. So (1, 3) is another point on the line. You can continue this process to find other points on the line and then connect these points to draw the line.

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