Understanding Linear Relationships with the Equation y = 5x | Exploring Examples and Graphical Representations

y = 5x

The equation y = 5x represents a linear relationship between two variables, y and x

The equation y = 5x represents a linear relationship between two variables, y and x. In this equation, y is equal to the product of 5 and x. This means that for every value of x, y will be 5 times that value.

To understand this relationship further, let’s consider a few examples:

Example 1:
Let’s say x = 2. Plugging this value into the equation, we get y = 5(2) = 10. So, when x is 2, y will be 10.

Example 2:
Now, if we take x = -3, using the equation, we have y = 5(-3) = -15. Thus, when x is -3, y will be -15.

We can also plot the points on a graph to obtain a visual representation of the linear relationship. In this case, the graph will be a straight line. Every point on the line will satisfy the equation y = 5x.

Additionally, it is worth noting that the coefficient of x in the equation (which is 5 in this case) indicates the slope of the line. A positive slope, like 5, means that as x increases, y also increases. A negative slope would mean that as x increases, y would decrease.

If you have any further questions or need additional explanations, please let me know!

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