Mathematics · Grades 8–10
Slope between two points
Keep the point order the same in numerator and denominator.
The key idea
Keep the point order the same in numerator and denominator.
m = (y₂ − y₁)/(x₂ − x₁), x₂ ≠ x₁
Worked examples
Find the slope through (10, 4) and (21, -51).
(-51 − (4))/(21 − (10)) = -5
-5
Find the slope through (-1, 10) and (11, 82).
(82 − (10))/(11 − (-1)) = 6
6
Try it yourself
Find the slope through (-6, 9) and (3, -36).
Find the slope through (10, -3) and (20, 27).
Check your understanding
Answers and marking notes
- -5
(-36 − (9))/(3 − (-6)) = -5
- 3
(27 − (-3))/(20 − (10)) = 3
Further reading and review references
These are reference links, not copied exercises, institutional endorsement or proof of independent review.
Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.