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Lesson 1097 of 1524

Graphs

Sign Patterns of the Quadrants Quadrant I Quadrant II Quadrant III Quadrant IV ( x , y ) (+,+) (-,+) (-,-) (+,-)

Practice this chapter

Sign Patterns of the Quadrants Quadrant I Quadrant II Quadrant III Quadrant IV ( x , y ) (+,+) (-,+) (-,-) (+,-) Coordinates of Zero Points with a y- coordinate equal to 0 are on the x- axis, and have coordinates ( a , 0)

Points with a x- coordinate equal to 0 are on the y- axis, and have coordinates ( 0, b )

origin — The point ( 0 , 0 ) is called the origin. It is the point where the x -axis and y -axis intersect. quadrants — The x -axis and y -axis divide a rectangular coordinate system into four areas, called quadrants. y- coordinate equal to 0 — on the x- axis, and have coordinates ( a , 0). x- coordinate equal to 0 — on the y- axis, and have coordinates ( 0, b ).

Be able to graph a linear equation by plotting points. Step 1. Find three points whose coordinates are solutions to the equation. Organize them in a table; graph of a Linear Equation: The graph of a linear equation a x + b y = c is a straight line. Every point on the line is a solution of the equation; find the x and y intercepts from the equation of a line To find the x- intercept of the line, let y = 0 and solve for x.

Worked example

What does “origin” mean in Graphs?

  1. 1Use the wording this chapter gives for origin.
  2. 2The book says: The point ( 0 , 0 ) is called the origin. It is the point where the x -axis and y -axis intersect.
  3. 3Do not use the meaning of quadrants. That term means The x -axis and y -axis divide a rectangular coordinate system into four areas, called quadrants.

Result: The point ( 0 , 0 ) is called the origin. It is the point where the x -axis and y -axis intersect

Why. That is the meaning this chapter gives for origin.

Do not swap origin and quadrants. origin means The point ( 0 , 0 ) is called the origin. It is the point where the x -axis and y -axis intersect. quadrants means The x -axis and y -axis divide a rectangular coordinate system into four areas, called quadrants.

Practice margin

This chapter

A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.