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Marizza181 [45]
2 years ago
7

Which equation represents a linear function? y – 2 = –5(x – 2) x 7 = –4(x 8) y – 3 = y(x 4) y 9 = x(x – 1).

Mathematics
1 answer:
REY [17]2 years ago
3 0

To solve such problems we need to know about the Linear function.

<h2 /><h2>Given to us</h2>

A.)  y – 2 = –5(x – 2)

B.)  x + 7 = –4(x + 8)

C.)  y – 3 = y(x + 4)

D.)  y + 9 = x(x – 1)

<h2>Linear function</h2>

A linear function is a function that is in the form of y=mx+c. thus we will check which functions are in this form, to know that a function is linear or not.

A.)  y – 2 = –5(x – 2)

y-2=-5(x-2)\\y-2= -5x+10\\y = -5x+10+2\\y = -5x+12

As we can that the function is in the form of y=mx+c. therefore, the function is a linear function.

B.)  x + 7 = –4(x + 8)

x+7 = -4(x+8)\\x+7 = -4x-32\\4x + x = -32-7\\5x = -39

As we can that the function is not in the form of y=mx+c. therefore, the function is a non-linear function.

C.)  y – 3 = y(x + 4)

y-3=y(x+4)\\y-3=yx+4y\\

As we can that the function is not in the form of y=mx+c. therefore, the function is a non-linear function.

D.) y + 9 = x(x – 1)

y+9 = x(x-1)\\y+9 = x^2 -x\\

As we can that the function is not in the form of y=mx+c. therefore, the function is a non-linear function.

Learn more about Linear function:

brainly.com/question/14165558

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( 8 , - 8)  => x² - 55 = 9

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2x^2 - 18 = 0\\\\2(x^2 - 9) = 0\\\\x^2- 9 = 0 \\\\x^2 = 9 \\\\x = \sqrt9 = \pm 3

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