Exploring the Linear Relationship | Understanding the Equation y = 4x and its Graphical Representation

y = 4x

The equation y = 4x represents a linear relationship between two variables, y and x

The equation y = 4x represents a linear relationship between two variables, y and x. In this equation, the value of y is always four times the value of x.

To understand this relationship, let’s consider some examples.

For instance, if we plug in x = 1 into the equation, we get y = 4(1) = 4. This means that when x = 1, y will be equal to 4.

Similarly, if we plug in x = 2, we get y = 4(2) = 8. So, when x = 2, y will be equal to 8.

We can also observe that for any value of x, y will always be four times that value. For example, if x = 5, then y = 4(5) = 20.

Graphically, this equation represents a straight line with a slope of 4. Since the equation is in the form y = mx, where m is the slope, we can see that the slope is 4. This means that for every increase of 1 in x, y will increase by 4.

It’s important to note that a linear equation like y = 4x will continue indefinitely in both positive and negative directions. Therefore, there are infinitely many points on the line that satisfy this equation.

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