Question

1. Which ordered pair is a solution of the linear equation shown in the graph above?

A (02, 0)
B(1, 3)
C(-1, 1)
D (0, -1)
2. Which ordered pair is a solution of y = x - 4
A(-1 -5)
B (0, -3)
C (2, 6)
D (3,1)

Picture is attached, explanation is not expected but is appreciated. Thank you.

Answer 1

A

Explanation:

Answer 2

Part 1:

For this case we first define the variables:
x: independent variable (horizontal axis)
y: dependent variable (vertical axis)
We have then that the next ordered pair belongs to the shaded region:

`(x, y) = (-1, 1)`
Answer:
C (-1, 1)

Part 2:

For this case we have the following linear function:

`y = x - 4`
We must find an ordered pair of the form (x, y) that satisfies the equation.
We have then:
For (-1, -5):
Substituting in the equation we have:

`-5 = -1 - 4`
Rewriting:

`-5 = -5`
Both sides of the equation are equal and therefore the point belongs to the function.
Answer:
A (-1 -5)