Question

Which equation represents a linear function?

Answer 1

The equation y - 2 = -5(x - 2) represents a linear function ⇒ 1st answer

Step-by-step explanation:

A linear function is any function that graphs to a straight line

(not a vertical line)

The forms of the linear equation are

• y = m x + b, where m is the slope of the line which represents the function and b is the y-intercept ⇒ slope-intercept form
• $y-y_{1}=m(x-x_{1})$, where m is the slope and $(x_{1},y_{1})$ is a point lies on the line which represent the function ⇒ slope-point form
• Ax + By = C, where A, B, and C are constant ⇒ standard form

Linear function means the greatest power x and y in the equation of the function is 1

∵ The equation is y - 2 = -5(x - 2)

∵ The greatest power of x and y is 1

∵ The equation is in the form of $y-y_{1}=m(x-x_{1})$, where

   m = -5 and the coordinates of the point are (2 , 2)

∴ The equation represents a linear function

The equation y - 2 = -5(x - 2) represents a linear function

Learn more:

You can learn more about the linear function in brainly.com/question/4326955

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