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Math · Coordinate Geometry

Medium Coordinate Geometry Drill

15 medium-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.

Medium Math Coordinate Geometry

All 15 questions

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

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 "Medium" means here

Medium questions add a layer — multi-step calculation, two competing rules, or a mildly tempting wrong answer that requires careful reading. A student scoring around 26 composite should be solid here; this is also the sweet spot for most score-improvement work.

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