Question

Which set of points are on the line y=6x-6

1.{(0,-6),(12,3)}
2.{(0,-6),(3,12)}
3.{(-6,0),(12,3)}
4.{(6,0),(3,12)}

Answer 1

Plug in the value of x and y of each point in the equation of the line. If it satisfies, then that point is a solution or is located on the line.
For instance, take (0,-6). In this point, x = 0 and y = -6. If you substitute x = 0 to the equation, you should get a value of y = -6:
y = 6x - 6
y = 6(0) - 6
y = 0 - 6
y = -6
Thus (0,-6) is a point on the line.
Try doing the others.

Answer 2

Put x and y values into equation : y = 6 x - 6

1.

x = 0 , y = - 6

y = 6 x - 6

y = 6 * 0 - 6 = 0 - 6 = - 6

Correct

x = 12 , y = 3

y = 6 x - 6

y = 6 * 12 - 6 = 72 - 6 = - 66

Not correct

One correct set and one uncorrect set.

So ansver 1 is not correct.


2.

x = 0 , y = - 6

y = 6 x - 6

y = 6 * 0 - 6 = 0 - 6 = - 6

Correct

x = 3 , y = 12

y = 6 x - 6

y = 6 * 3 - 6 = 18 - 6 = 12

Correct

So ansver 2 is correct.


3.

x = - 6 , y = 0

y = 6 x - 6

y = 6 * - 6 - 6 = - 36 - 6 = - - 42

Not correct

x = 12 , y = 3

y = 6 x - 6


y = 6 * 12 - 6 = 72 - 6 = 66

Not correct

So ansver 3 is not correct.


4.

x = 6 , y = 0

y = 6 x - 6

y = 6 * 6 - 6 = 36 - 6 = - 30

Not correct

x = 3 , y = 12

y = 6 x - 6


y = 6 * 13 - 6 = 78 - 6 = 72

Not correct

So ansver 4 is not correct.


Answer 2