Question

Which two points are on the graph of y = x - 3?

(1, -2), (-1, 3)
(1, 2), (0, 3)
(0, -3), (4, 1)
(3, 0), (0, 3)

Answer 1

the answer is the third one: (0,-3),(4,1)

plug in the X and Y in the given equation
(0,-3): -3 = 0 - 3. this is correct
(4,1): 1 = 4-3. this is also correct

Answer 2

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

Explanation:

Given: Graph of y = x - 3

We need to find which points are on the graph of y = x - 3 .

A point
`\left ( x_1,y_1 \right )` is said to lie on the graph of y = f(x) if it satisfies the equation. i.e if
`y_1=f(x_1)`

Here, we will first check if points (0, - 3), (4, 1) lie on the graph:

For (0, - 3):

L.H.S = y = - 3

R.H.S = x - 3 = 0 - 3 = - 3

L.H.S = R.H.S

So, (0, - 3) satisfies the given equation.

For (4, 1):

L.H.S = y = 1

R.H.S = x - 3 = 4 - 3 = 1

L.H.S = R.H.S

So, (4, 1) satisfies the given equation.

Therefore, two points (0, - 3), (4, 1) satisfy the equation y = x - 3