Q:

Which table shows a set of ordered pairs that appears to lie on the graph of a linear function?

Accepted Solution

A:
Answer: Β  Table BStep-by-step explanation:The table represents a linear function if the ratio of change in y (βˆ†y) to change in x (βˆ†x) is a constant.A β€” first two points: βˆ†y/βˆ†x = (1-2)/(3-0) = -1/3 Β  second two points: βˆ†y/βˆ†x = (6-1)/(4-3) = 5 β‰  -1/3__B β€” first two points: βˆ†y/βˆ†x = (2-(-3))/(4-(-1)) = 5/5 = 1 Β  second two points: βˆ†y/βˆ†x = (4-2)/(6-4) = 2/2 = 1, the same as for the first points. This is the table that answers the question.__C β€” first two points: βˆ†y/βˆ†x = (0-(-2))/(0-(-3)) = 2/3 Β  second two points: βˆ†y/βˆ†x = (4-0)/(2-0) = 4/2 = 2 β‰  2/3__D β€” first two points: βˆ†y/βˆ†x = (-2-(-7))/(0-5) = 5/-5 = -1 Β  second two points: βˆ†y/βˆ†x = (2-(-2))/(2-0) = 4/2 = 2 β‰  -1