Question

Which equation represents a linear function? y(x – 1) = 9 y – 5 = x(–x + 2) y(y – 1) = x + 25 y – 5 = x – 20

Answer 1

Answer:

All equation

Step-by-step explanation:

Hope this helps u

Answer 2

Answer:

From the given options y -5 = x - 20 represents a linear function.

Step-by-step explanation:

Given equations are

1. y(x – 1) = 9
2. y – 5 = x(–x + 2)
3. y(y – 1) = x + 25
4. y – 5 = x – 20

To find,

The equation represents that represents a linear function in the options

Solution

Recall the concept

If the exponent of every term in the function is not more than one, then the function is said to be a linear function.

From the given options

y(x – 1) = 9 ⇒ xy - y = 9, here the power of the term xy is two, hence the equation y(x – 1) = 9 is not a linear equation

y – 5 = x(–x + 2) ⇒ y  - 5 = -x² + 2x, here, the power of  -x²term is two, the equation y – 5 = x(–x + 2) is not a linear equation

y(y-1) = x+25  ⇒ y² - y = x+25, here the power of the y² term is 2, hence the equation y(y-1) = x+25 is not linear equation

y -5 = x - 20, here all the powers of the exponents is less than 1, hence the equation y – 5 = x – 20 is a linear equation.

∴ From the given options y -5 = x - 20 represents a linear function.

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