Understanding Slope-Intercept Form and Graphing the Equation y = x + 2 in Mathematics

y = x + 2

The equation y = x + 2 can be written in slope-intercept form, which is y = mx + b, where m represents the slope of the line and b represents the y-intercept

The equation y = x + 2 can be written 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 equation is already in slope-intercept form, where the coefficient of x (which is 1) represents the slope of the line, and the constant term (which is 2) represents the y-intercept.

So, the slope of the line is 1, meaning that for every increase of 1 in the x-coordinate, the y-coordinate will increase by 1 as well. The y-intercept is 2, which indicates that the line crosses the y-axis at the point (0, 2).

To graph this line, you can plot the y-intercept at (0, 2), and then use the slope to find additional points on the line. For example, if you move one unit to the right from the y-intercept (0, 2), you would increase the x-coordinate by 1 and the y-coordinate by 1, resulting in the point (1, 3). Similarly, if you move two units to the right from the y-intercept, you would increase the x-coordinate by 2 and the y-coordinate by 2, giving you the point (2, 4).

By connecting these points, you can draw a straight line representing the equation y = x + 2.

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