TERMS FOR X-Y PLANE PROBLEMS: SAT, PSAT, ACT, GRE, GMAT, SSAT

Origin: the point where x = zero and y = zero (0, 0)
Point of Intersection: a point (x, y) at which two lines cross each other

RULES FOR X-Y PLANE PROBLEMS: SAT, PSAT, ACT, GRE, GMAT, SSAT
Distance Formula: √(x₂ - x₁)² + (y₂ - y₁)²]
Midpoint Formula: (x₂ - x₁) / 2, (y₂ - y₁) / 2       [Average of x points, Average of y points]
A line intersects the x-axis when y = 0
A line intersects the y-axis when x = 0

SAMPLE PRACTICE QUESTION FOR X-Y PLANES: SAT, PSAT, ACT, GRE, GMAT, SSAT

In the x-y plane, graphs y = -x + 6 and y = x² - s intersect at point (4, t). What is the value of s?

     Solution
     1) The y-point of intersection (t) must be found by plugging in the known x-value.
          y = -x + 6
          y = -4 + 6 = 2

     2) y = x² - s
          2 = 4² - s
          -14 = - s
          s = 14

     3) Greatest integer = x + 4 (not x)
         x + 4 = (y - 6) / 3 + 4

SAT Math: X-Y Plane Problems

Lesson Includes:

— Math Terms for X-Y Plane Problems

—Rules for X-Y Planes

—Sample Practice Questions

—Practice Questions

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SAT Writing

SAT Vocabulary

X-Y PLANE MATH QUIZ

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