Question

Identifying the Sign of the Slope of Linear Functions
Which linear function has a positive slope?
On a coordinate plane, a line goes through points (0, 3) and (4, 2).
y = negative 0.1 x minus 5
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 4, negative 2, 0, 2, 4. Column 2 is labeled y with entries 0, 0.5, 1.0, 1.5, 2.0.
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 6, negative 2, 1, 7, 9. Column 2 is labeled y with entries 6.6, 4.2, 2.4, negative 1.2, negative 2.4.

Answer 1

Only the third one — the table with x = −4, −2, 0, 2, 4 and y = 0, 0.5, 1.0, 1.5, 2.0 — has a positive slope.

Quick checks:
- (0,3) and (4,2): slope = (2−3)/(4−0) = −1/4 (negative).
- y = −0.1x − 5: slope = −0.1 (negative).
- table 3: slope = (2.0−0)/(4−(−4)) = 2/8 = 0.25 (positive).
- table 4: slope = (−2.4−6.6)/(9−(−6)) = −9/15 = −0.6 (negative).