Working in the Cartesian Plane Flashcards
Coordinates: Written as (x, y). Plotting Points: First move across (x), then up/down (y). Lines and Graphs: Identify patterns and straight lines (e.g., y = 2x). (14 cards)
What are the two axes in the Cartesian plane called?
The x-axis and the y-axis.
True or False: The point (0, 0) is known as the origin.
True.
Fill in the blank: The coordinates of a point are written in the form (___, ___).
x, y.
What quadrant is represented by the coordinates (3, -2)?
Quadrant IV.
Which quadrant contains points where both x and y coordinates are negative?
Quadrant III.
Multiple Choice: Which of the following points lies on the y-axis? A) (2, 3) B) (0, -5) C) (4, 0)
(0, -5).
True or False: The x-coordinate indicates the horizontal position of a point.
True.
If a point is located at (4, 5), what is its x-coordinate?
4.
What is the slope of a line that rises 3 units for every 2 units it runs?
1.5 or 3/2.
Fill in the blank: A horizontal line has a slope of ___.
0.
Multiple Choice: Which equation represents a vertical line? A) y = 2 B) x = -3 C) y = mx + b
x = -3.
What is the midpoint formula for two points (x1, y1) and (x2, y2)?
Midpoint = ((x1 + x2)/2, (y1 + y2)/2).
True or False: The coordinates of a point in Quadrant I are always positive.
True.
What do you call a line that crosses the y-axis at (0, b)?
Y-intercept.
