Graphing (-3, 2) and Related Points

Pre-Algebra · Axiom Academy

EXAMPLE Graphing (−3, 2) and Related Points Plot (−3, 2) step by step, name its quadrant, then explore the points you get by flipping its signs. Plot the point on the coordinate plane, determine which quadrant it lands in, then find the related points you get by changing the signs of its coordinates: , , and . The four sign variations of (3, 2) Same distance from the origin, one in each quadrant. Nice work! You plotted a point, named its quadrant, and built the whole sign-variation family. Remember: Ordered pairs : the first number is the horizontal move (left/right), the second is the vertical move (up/down). Quadrant signs: QI (+,+) , QII (-,+) , QIII (-,-) , QIV (+,-) . Reflect across the x-axis: change the sign of y — . Reflect across the y-axis: change the sign of x — . Flip both signs: reflect through the origin — . These moves are the foundation for graphing equations, transformations, and coordinate geometry down the road.

This is the written version of the interactive lesson above. See the full Pre-Algebra course.