Question

NEED NOW!!!

Answer 1

Answer:

The first one: y - 2 = -5(x - 2)

Step-by-step explanation:

Answer 2

Answer:

the function y – 2 = –5(x – 2) is linear.

Step-by-step explanation:

We need to find the correct option from provided options which represents a linear function

Since, the linear equation is in the form of y=mx+c where m is slope of line.

In first part y – 2 = –5(x – 2)

Simplify, the function

$y -2 = -5x + 10$

Add both the sides by 2, in above equation

$y = -5x +12$

This function is in the form of y=mx+c

so, this is a linear function

In second part x + 7 = –4(x + 8)

Simplify, the function

$x+7= -4x+32$

subtract both the sides by 7, in above expression

$x= -4x+32-7$

$x= -4x+25$

add both the sides by 4x,

$x +4x= 25$

$5x= 25$

divide both the sides by 5,

$x =5$

This is not in the form of y=mx+c

so, this is not a linear function

In third part y – 3 = y(x + 4)

Simplify, the function

$y-3= yx+4y$

add both the sides by 3,

$y= yx+4y+3$

This is not in the form of y=mx+c

so, this is not a linear function

In fourth part y + 9 = x(x - 1)

Simplify, the function

$y+9= x^{2}-x$

subtract both the sides by 9,

$y= x^{2}-x-9$

This is not in the form of y=mx+c

so, this is not a linear function

Therefore, the function y – 2 = –5(x – 2) is linear.