To solve the equation y = 2x + 4, we need to understand what it means to find the value of y given different values of x. This equation represents a linear relationship between the variables x and y.
For example, if we want to find y when x = 0, we can substitute 0 for x in the equation:
- y = 2(0) + 4
- y = 0 + 4
- y = 4
So, when x = 0, y is 4.
You can repeat this process for different values of x to see how y changes. For instance,
- If x = 1, then y = 2(1) + 4 = 6.
- If x = -1, then y = 2(-1) + 4 = 2.
The equation also represents a line on a graph, where 2 is the slope (indicating the line rises 2 units vertically for each unit it moves horizontally) and 4 is the y-intercept (the point where the line crosses the y-axis).
In summary, to solve the equation y = 2x + 4 for specific values of x, simply substitute those values into the equation to find the corresponding y values.