Question

Which of the following coordinate pairs make the equation x - 9y = 12 true?

Answer 1

Options:

(12,0)     (0,12)    (3,-1)    (0,-4/3)

Answer:

(12,0) ,  (3,-1)  and (0,-4/3)

Step-by-step explanation:

Given

$x - 9y = 12$

Required

Which option is true?

A coordinate point is of the form; $(x,y)$

So, we have to substitute the x and y values in the given equation.

A. For (12,0)

$x = 12$ and $y = 0$

$x - 9y = 12$ becomes

$12 - 9*0 = 12$

$12 - 0 = 12$

$12 = 12$

This is true

B. For (0,12)

$x = 0$ and $y = 12$

$x - 9y = 12$ becomes

$0 - 9*12 = 12$

$- 9*12 = 12$

$- 108 = 12$

This is false

C. For (3,-1)

$x =3$ and $y = -1$

$x - 9y = 12$ becomes

$3 - 9*-1 =12$

$3 + 9 =12$

$12 = 12$

This is true

D. For (0,-4/3)

$x = 0$ and $y = -\frac{4}{3}$

$x - 9y = 12$ becomes

$0- 9*-\frac{4}{3} = 12$

$0+ 9*\frac{4}{3} = 12$

$0+ 3*4 = 12$

$0+12 = 12$

$12 = 12$

This is true

Hence, (12,0) ,  (3,-1)  and (0,-4/3) are true values of the equation