Free ACT prep · Updated for the May 2026 ACT format Take a full-length test →
A ACT Vault
Free Practice · Honest Prep
Math · Coordinate Geometry

Hard Coordinate Geometry Drill

15 hard-difficulty ACT Math questions on Coordinate Geometry. Each question is on its own page with a worked answer explanation, the underlying rule, and a quick study tip.

Hard Math Coordinate Geometry

All 15 questions

  1. 1 Slope Between Two Points What is the slope of the line passing through (-3, -2) and (-1, 1)? Hard
  2. 2 Distance Between Two Points What is the distance between (0, 1) and (3, 5)? Hard
  3. 3 Midpoint of a Segment What is the midpoint of the segment with endpoints (4, 4) and (6, -4)? Hard
  4. 4 Equation of a Line in Slope-Intercept Form A line has slope -2 and y-intercept -4. Write its equation in slope-intercept form. Hard
  5. 5 Slope Between Two Points What is the slope of the line passing through (4, 4) and (6, 6)? Hard
  6. 6 Distance Between Two Points What is the distance between (0, 0) and (4, 3)? Hard
  7. 7 Midpoint of a Segment What is the midpoint of the segment with endpoints (2, 4) and (4, 4)? Hard
  8. 8 Equation of a Line in Slope-Intercept Form A line has slope -3 and y-intercept 3. Write its equation in slope-intercept form. Hard
  9. 9 Slope Between Two Points What is the slope of the line passing through (5, 5) and (9, 8)? Hard
  10. 10 Distance Between Two Points What is the distance between (0, 2) and (3, 6)? Hard
  11. 11 Midpoint of a Segment What is the midpoint of the segment with endpoints (4, 6) and (2, 6)? Hard
  12. 12 Equation of a Line in Slope-Intercept Form A line has slope -3 and y-intercept 1. Write its equation in slope-intercept form. Hard
  13. 13 Slope Between Two Points What is the slope of the line passing through (-1, 1) and (1, 3)? Hard
  14. 14 Distance Between Two Points What is the distance between (1, 1) and (5, 4)? Hard
  15. 15 Midpoint of a Segment What is the midpoint of the segment with endpoints (-2, 2) and (2, 4)? Hard

How to use this drill

Open the questions one at a time. Read the prompt, decide on an answer before scrolling, then check the explanation. The point of a drill is not to "get the question right" — it's to internalize the rule so you can apply it cold under timed conditions on test day.

If you're missing more than a third of the questions in this set, drop down a difficulty tier and rebuild from there. If you're getting all of them quickly, jump up a tier and try a mixed drill across subtopics.

What "Hard" means here

Hard questions are designed to separate strong test-takers. They typically require multiple rules applied in sequence, or careful elimination among answers that all look plausible. Expect to see these appear later in real ACT sections; even strong test-takers miss a couple per test.

Try Another Tier