Understanding the Linear Equation y = x + 2 | Graphing, Intercepts, and Interpretation

y = x + 2

The equation y = x + 2 is a linear equation in slope-intercept form, where y represents the dependent variable and x represents the independent variable

The equation y = x + 2 is a linear equation in slope-intercept form, where y represents the dependent variable and x represents the independent variable. In this equation, the slope is 1, which means that for every increase in the value of x by 1 unit, the value of y will increase by 1 unit as well. The y-intercept is 2, which means that when x is 0, the value of y will be 2.

To better understand this equation, you can represent it graphically. The graph of y = x + 2 will be a straight line, and by plotting points on the coordinate plane, you can draw the line. For example, when x is 0, y will be 2. When x is 1, y will be 1 + 2 = 3. When x is 2, y will be 2 + 2 = 4. You can continue this process to find more points, and then join them to draw the line.

Additionally, you can find the x-intercept and y-intercept of the equation y = x + 2 by setting y and x, respectively, to 0. The x-intercept occurs when y is 0, so substituting y = 0 in the equation gives you:

0 = x + 2

Simplifying the equation, you get:

x = -2

Therefore, the x-intercept is -2. The y-intercept is the value of y when x is 0, which is 2.

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