Question

The tables represent two linear functions in a system.

A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 26, 18, 10, 2. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 14, 8, 2, negative 4.
What is the solution to this system?

(1, 0)
(1, 6)
(8, 26)
(8, –22)

Answer 1

First line: slope = (18−26)/2 = −4, y-intercept = 10, so y = −4x + 10.
Second line: slope = (8−14)/2 = −3, y-intercept = 2, so y = −3x + 2.
Solve −4x + 10 = −3x + 2 → x = 8. Then y = −4(8)+10 = −22.

Solution: (8, −22).