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 (βy) to change in x (βx) is a constant.A β first two points: βy/βx = (1-2)/(3-0) = -1/3 Β second two points: βy/βx = (6-1)/(4-3) = 5 β -1/3__B β first two points: βy/βx = (2-(-3))/(4-(-1)) = 5/5 = 1 Β second two points: βy/βx = (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: βy/βx = (0-(-2))/(0-(-3)) = 2/3 Β second two points: βy/βx = (4-0)/(2-0) = 4/2 = 2 β 2/3__D β first two points: βy/βx = (-2-(-7))/(0-5) = 5/-5 = -1 Β second two points: βy/βx = (2-(-2))/(2-0) = 4/2 = 2 β -1