Question

he linear function that is represented by which table has the same slope as the graph?

On a coordinate plane, a line goes through points (0, negative 3) and (2, 1).
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries negative 9, negative 7, negative 5, negative 3, negative 1.
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries 9, 7, 5, 3, 1.
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 9, negative 7, negative 5, negative 3, negative 1. Column 2 is labeled y with entries negative 25, negative 21, negative 17, negative 13, negative 9.
A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 3, 5, 7, 9. Column 2 is labeled y with entries negative 9, negative 13, negative 17, negative 21, negative 25.

Answer 1

Slope of the line through (0, −3) and (2, 1) is (1 − (−3)) / (2 − 0) = 4/2 = 2.

The third table (x = −9, −7, −5, −3, −1; y = −25, −21, −17, −13, −9) has Δx = 2 and Δy = 4 between consecutive entries, so slope = 4/2 = 2.

Thus the third table matches the same slope.