Question

Identify the point (x1 y1) from the equation y -7 = 3(x + 2)

A. (-7, 2)

B. (7,-2)

C. (-2, 7)

D. (2,-7)

Answer 1

I hope this helps- the answer is C

Answer 2

Answer: The answer is (C) (-2, 7).

Explanation: The given equation is -

`y-7=3(x+2).`

We are select out of the given options which point will satisfy the above equation.

If we take
`(x_1,y_1)=(-7,2)`, then

`2-7=3(-7+2)\\\\\Rightarrow -5=-15,~(\textup{not possible}).`

So, this option is incorrect.

If we take
`(x_1,y_1)=(7,-2)`, then

`-2-7=3(7+2)\\\\\Rightarrow -9=21,~(\textup{not possible}).`

So, this option is incorrect.

If we take
`(x_1,y_1)=(-2,7)`, then

`7-7=3(-2+2)\\\\\Rightarrow 0=0,~(\textup{always true}).`

So, this option is incorrect.

If we take
`(x_1,y_1)=(2,-7)`, then

`-7-7=3(2+2)\\\\\Rightarrow -14=12,~(\textup{not possible}).`

So, this option is incorrect.

Thus, the correct option is (C).