Question

The point (2,3) is on the line given by which equation below?

Answer 1

ANSWER

C y=x+1

EXPLANATION

If the point (2,3) lies on a given line then it must satisfy its equation.

We have to substitute the given point into each equation.

For option A, we have

y=x-1,

We plug in the values to get,

$3 = 2 - 1$

3=1, this is not true.

For option B, we have

y=-3x

3=-3(2)

3=-6 is not true.

For option C, we have

y=x+1

3=2+1

3=3 this is true.

Hence the correct answer is C

For option D, we have

y=3x

3=3(2)

3=6 this is false

Answer 2

For this case we substitute the point in each of the equations and verify if the equality is met:

Option 1:

$y = x-1\\3 = 2-1\\3 = 1$

It is not true

Option 2:

$y = -3x\\3 = -2 (2)\\3 = -4$

It is not true

Option 3:

$y = x + 1\\3 = 2 + 1\\3 = 3$

Is fulfilled

Option 4:

$y = 3x\\3 = 3 (2)\\y = 6$

Answer:

The point belongs to the equation of the third option.