Question

Explain linear function. Provide a real-world example of linear function, explain the rate of change. Include reference(s) in your post.

Answer 1

Explanation:

A linear function : Linear functions are those whose graph is a straight line.

`y = f(x) = a + bx` , A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept. It is the value of the dependent variable when
`x = 0` . b is the coefficient of the independent variable.

• rate of change: Ratio between two related quantities that are changing.

• slope: The ratio of the vertical and horizontal distances between two points on a line; zero if the line is horizontal, undefined if it is vertical.

In real life, we know that voltage is directly proportional to current , having resistance as a proportionality constant or more precisely slope of line :

`voltage = resistance(current)` , slope remains constant but , voltage is directly proportional to current .