Answer:
The ordered pairs represent points on the line are
(4, 3) ⇒ C
(2, ) ⇒ D
(-8, -6) ⇒ E
Step-by-step explanation:
To find the ordered pairs represent points on the line, substitute x by the x-coordinate of each point, if the value of y equals the y-coordinate of the point, then the point is on the line.
∵ The equation is y = x
∵ The ordered pair is (8, )
→ Substitute x by 8
∴ y = (8)
∴ y = 6
∵ The value of y does not equal the y-coordinate of the ordered pair
∴ The ordered pair (8, ) does not represent a point on the line
∵ The ordered pair is (,
)
→ Substitute x by
∴ y = (
)
∴ y =
∵ The value of y does not equal the y-coordinate of the ordered pair
∴ The ordered pair (,
) does not represent a point on the line
∵ The ordered pair is (4, 3 )
→ Substitute x by 4
∴ y = (4)
∴ y = 3
∵ The value of y equal the y-coordinate of the ordered pair
∴ The ordered pair (4, 3) represents a point on the line
∵ The ordered pair is (2, )
→ Substitute x by 2
∴ y = (2)
∴ y =
∵ The value of y equal the y-coordinate of the ordered pair
∴ The ordered pair (2, ) represents a point on the line
∵ The ordered pair is (-8, -6 )
→ Substitute x by -8
∴ y = (-8)
∴ y = -6
∵ The value of y equal the y-coordinate of the ordered pair
∴ The ordered pair (-8, -6) represents a point on the line