Module · Algebra
Chapter 17: Coordinate Geometry
Algebra
5 topics
What this chapter covers
The 5 topics below make up Coordinate Geometry on the GRE. Click any topic to open its notes, examples and practice test.
Study material & tests
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🎯 Topic tests
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📝 Chapter test
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Formula Reference Sheet
This chapter
Points, distance & midpoint
| Distance between two points | d = √[ (x₂ − x₁)² + (y₂ − y₁)² ] |
|---|---|
| Midpoint | M = ( (x₁ + x₂)/2 , (y₁ + y₂)/2 ) |
| Slope | m = (y₂ − y₁) / (x₂ − x₁) |
Lines & parabolas
| Slope-intercept form | y = mx + b (b = y-intercept) |
|---|---|
| Parallel lines | same slope: m₁ = m₂ |
| Perpendicular lines | m₁ × m₂ = −1 |
| x-intercept | set y = 0 and solve for x |
| Parabola (vertex form) | y = a(x − h)² + k, vertex (h, k) |
GRE reference
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