Answer: PLUG IN X= 1 to the equation
y = 2(1) + 4 ***or check the bottom I included two different answers in case one is not relevant!!!!!
Explanation:
To solve the equation y = 2x + 4, we need to find the value of x that makes the equation true. Let's go step by step:
1. Start with the equation y = 2x + 4.
2. Substitute a specific value for y, and solve for x. For example, if y = 6:
6 = 2x + 4.
3. Subtract 4 from both sides of the equation:
6 - 4 = 2x + 4 - 4.
2 = 2x.
4. Divide both sides of the equation by 2:
2/2 = 2x/2.
1 = x.
Therefore, when y = 6, the value of x that satisfies the equation y = 2x + 4 is x = 1.
In summary, to solve the equation y = 2x + 4, we substituted a specific value for y and solved for x. In this example, when y = 6, the corresponding value of x is 1.
OR!!!!!!!!!!!!
The equation y = 2x + 4 represents a linear relationship between the variables x and y. Let's break it down:
1. The coefficient of x: In the equation, the coefficient of x is 2. This means that for every unit increase in x, the corresponding value of y will increase by 2 units. Similarly, for every unit decrease in x, the corresponding value of y will decrease by 2 units.
2. The constant term: The constant term in the equation is 4. This term represents the y-intercept, which is the point where the line intersects the y-axis. In this case, the line crosses the y-axis at the point (0, 4). This means that when x = 0, y will be equal to 4.
3. The slope: The coefficient of x, which is 2 in this equation, represents the slope of the line. The slope determines the steepness of the line. A positive slope of 2 means that as x increases, y increases at a rate of 2 units. This indicates that the line slopes upward from left to right.
4. Graphical representation: If we were to graph this equation on a coordinate plane, the line would be a straight line passing through the point (0, 4) with a slope of 2. The line would rise 2 units vertically for every 1 unit it moves horizontally.
In summary, the equation y = 2x + 4 represents a linear relationship where y depends on x. The coefficient of x determines the slope of the line, and the constant term represents the y-intercept. By understanding the equation, we can determine how changes in x affect the value of y and visualize the line on a graph.