Question

N NON UNA ORIEND DAS LINEAR #1 (4.4).(7.2).(10,0) #2 [(4,6).(4,2).(5,1)) #3 (0,8).(-2,4).(-6,0)) ((-3,0).(-2,1),(5,2)] ORDERED PAIRS

Answer 1

You can compare the rate at which x and y coordinates are changing in each option.

• If they are constant, the pairs are ,linear,.

,

• If the change in not constant, the pairs are ,non-linear,.

Option #1

$\mleft\lbrace(4,4),(7,2),(10,0)\mright\rbrace$

x coordinates >>> 4 to 7 to 10 = 3 units

y coordinates >>> 4 to 2 to 0 = -2 units

The pairs have a constant rate of change.

Thus,

Linear.

Option #2

$\lbrace(4,6),(4,2),(5,1)\rbrace$

No constant change in both x and y coordinates.

Thus,

Non-Linear.

Option #3

$\lbrace(2,8),(-2,4),(-6,0)\rbrace$

x coordinates >>> 2 to - 2 to - 6 = - 4 units

y coordinates >>> 4 to 2 to 0 = - 4 units

The pairs have a constant rate of change.

Thus,

Linear.

Option #4

$\lbrace(-3,0),(-2,1),(5,2)\rbrace$

No constant change in both x and y coordinates.

Thus,

Non-Linear.