y = 5x
What is the rule for the function?
The equation y = 5x is a linear equation in one variable. It indicates that y is directly proportional to x with a constant of proportionality equal to 5.
For any given value of x, we can find the value of y by multiplying x by 5. For example, if x = 2, then y = 5x = 5(2) = 10. If x = -3, then y = 5x = 5(-3) = -15.
We can also graph this equation on a coordinate plane by plotting points that satisfy the equation. For example, if we choose x = 0, then y = 5(0) = 0. This gives us the point (0,0) which is the y-intercept of the graph. If we choose another value of x, say x = 1, then y = 5(1) = 5. This gives us the point (1,5), which is one point on the line. If we plot several points that satisfy the equation, we can draw a straight line that passes through all of them. This is the graph of the equation y = 5x.
Overall, the equation y = 5x represents a linear relationship between y and x in which y is directly proportional to x, with a constant ratio of 5.
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