y = 2x + 2
The equation y = 2x + 2 represents a linear function
The equation y = 2x + 2 represents a linear function. Let’s analyze the equation:
The “2x” term indicates that the rate of change of y with respect to x is 2. In other words, for every unit increase in x, y increases by 2 units.
The “+2” term represents the y-intercept, which is the value of y when x is equal to 0. In this case, the y-intercept is 2. This means that the graph of the equation crosses the y-axis at the point (0, 2).
To graph this linear function, you can start by plotting the y-intercept (0, 2). Then, you can use the slope (2) to find other points on the graph. For example, if you increase x by 1, y will increase by 2. So, you can go one unit to the right from the y-intercept and go up two units to get another point (1, 4). Similarly, if you decrease x by 1, y will decrease by 2. So, you can go one unit to the left from the y-intercept and go down two units to get another point (-1, 0). By connecting these points with a straight line, you can graph the equation y = 2x + 2.
The graph will be a straight line that slants upward from left to right with a slope of 2.
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