Identifying direct variation from ordered pairs and writing equations

Question

For each table, determine whether it shows a direct variation.

If it does, write its direct variation equation.

X Y

4 5

5 6.25

9 11.25

ARE THEY A DIRECT VARIATION EQUATION OR NOT

X Y

2 5

4 10

10 25

ARE THEY A DIRECT VARIATION EQUATION OR NOT

Answer 1

Get some graph paper and plot each table's points. See if a line connecting them goes through the origin (0,0). Figure out if you can multiply each value of X in a table by the same amount to get the value of the Y next to it. Yes to both endeavors means you've got a direct variation (Y = same amount times X). Good luck.