Linear Functions: The Basics Of Y=4X Equation

y = 4x

What is the rule for the function?

The given equation, y = 4x, represents a linear function. It is in the form of slope-intercept form, where the coefficient of x (4) is the slope of the line and the constant term (0 in this case) is the y-intercept.

Here are some important points you should know about this equation:

1. Slope: The slope of the line is 4. This means that for every increase of 1 unit in x, y will increase by 4 units. Additionally, if x decreases by 1 unit, y will decrease by 4 units.

2. Intercept: The y-intercept of the line is 0. This means that the line passes through the origin (0,0) on the Cartesian plane.

3. Graph: To graph this line, we can start at the y-intercept of 0 and then use the slope of 4 to find another point. For example, if we increase x by 1 unit, y will increase by 4 units, giving us the point (1,4). We can then draw a straight line through these two points.

4. Applications: This equation can be used to model situations where there is a constant rate of change or proportional relationship between two variables. For example, if x represents the number of hours worked and y represents the amount earned, this equation can be used to determine how much someone will earn for every hour worked if the pay rate is $4 per hour.

Overall, y = 4x is a simple but important linear function that represents a constant rate of change between two variables.

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