Points and Lines Flashcards
Axes
Plural of axis
Vertical and horizontal lines on a graft
Plane
Two dimensional space
Abscissa
First coordinate
x number
Ordinate
Second coordinate
y number
Ordered pairs
(x, y)
Points on a plane
Origin
The place where the two axes meet
Quadrants
The four areas of a plane
In quadrant I, how do x & y relate to 0?
x is positive
y is positive
In quadrant II, how do x & y relate to 0?
x is negative
y is positive
In quadrant III, how do x & y relate to 0?
x is negative
y is negative
In quadrant IV, how do x & y relate to 0?
x is positive
y is negative
Does every point on a line have the same value?
Yes
What is the formula for the distance between two points on a plane?
(x₁, y₁) vs. (x₂, y₂)
_________________
Distance = √ (x₂ - x₁)² + (y₂ - y₁)²
Are distances always positive?
Yes
How do you find the midpoint of a line on a plane?
(x₁ + x₂) (y₁ + y₂)
Midpoint = ——— , ———-
2 2
How do you find the distance on a horizontal line in a plane?
Distance = x₂ - x₁
How do you find the midpoint of a horizontal line in a plane?
x₁ + x₂
Midpoint = ——–
2
How do you find the distance on a vertical line in a plane?
Distance = y₂ - y₁
How do you find the midpoint of a vertical line in a plane?
y₁ + y₂
Midpoint = ——–
2
How do you find the slope of a line on a plane?
Rise / Change in y
Slope = ———————-
Run / Change in x
y₂ - y₁ Slope = -------- x₂ - x₁
A slope is positive if it goes from the ______ to the ______.
Lower left
Upper right
A slope is negative if it goes from the ______ to the ______.
Upper left
Lower right
Horizontal slopes have ______ slope.
Zero
Vertical lines have _____ slope, _____ slope, or “_____” slope.
No
Undefined
Infinite
If (m, n) and (p, q) form a horizontal line, which letters will be the same number?
n & q
If (m, n) and (p, q) form a vertical line, which letters will be the same number?
m & p
The x axis is _______. The y axis is ______.
Horizontal
Vertical
What is a corresponding angle?
/ \_\_\_\_\_x/\_\_\_\_\_\_ / \_\_\_\_x/\_\_\_\_\_\_\_\_ /
What is an alternate angle?
/ \_\_\_\_\_ /\_\_\_\_\_\_\_ x/ \_\_\_ /x\_\_\_\_\_\_\_ /