Question

Which of the following equations could represent

the points in the table? Select all that apply.
A y − 11 = −6(x − 0)
B y − 1 = −6(x + 5)
C y + 1 = −6(x − 2)
D y − 7 = −6(x − 3)

Answer 1

A) y - 11 = -6(x - 0)

C) y + 1 = -6(x - 2)

Explanation:

Plug in the corresponding x- and y- values in the table into the equations given in the answer choices.

I am going to use (1, 5) from the table.

A) y - 11 = -6(x - 0)

• 
  `(5)-11=-6((1)-0)`

• 
  `-6=-6(1)`
• 
  `-6=-6`

-6 DOES equal 6, so this equation could represent the points in the table.

B) y - 1 = -6(x + 5)

• 
  `(5)-1=-6((1)+5)`

• 
  `4=-6(6)`

• 
  `4 \\ot=-36`

4 does NOT equal 36, so this equation could not represent the points in the table.

C) y + 1 = -6(x - 2)

• 
  `(5)+1=-6((1)-2)`

• 
  `6=-6(-1)`

• 
  `6=6`

6 DOES equal 6, so this equation could represent the points in the table.

D) y - 7 = -6(x - 3)

• 
  `(5)-7=-6((1)-3)`

• 
  `-2=-6(-2)`

• 
  `-2\\ot=12`

-2 does NOT equal 12, so this equation could not represent the points in the table.

The only two equations that could represent the points in the table are answer choices A) y - 11 = -6(x - 0) and C) y + 1 = -6(x - 2).