Coordinate Geometry Flashcards
Points on the axes
Are not in any of the quadrants
Every possible line in the x-y plane
Has its own unique question
Every point on a line
satisfies the equation of the line
Slope
rise over run
Slope
Slope between ANY two points on a line
Slope could be
2k and k; up 2k and right k; keep on adding the slope
Bigger slope number
Steeper
Slope of 1/-1
45 degree angle with the axis
x and y intercepts
plug in 0 for y and x; can get the intercept from any equation
If you have two points
then find the base using triangle and then add the ex intercept
if you add rise and run to the existing slope then you can find another point on the line**
**
multiply by 5
times 10 and then half
If a circle is centered at the origin then
each radius has a horizontal leg of abs x and a vertical leg of abs y so rsquared= xsquared+ysquared*
Horizontal and vertical distances in an x y plane
Subtraction
For a circle in the x-y plane
Each slanted radius is the hypotenuse; sometimes it forms two isosceles triangles
Every point on the pep bisector of a line is
Equidistant from the two end points of a line
For the line x=y
x=y, 45degree with the x axis;above the line y>x;
reflection of line x=y
signs opp for both
every point on x=y is eqidistant
from the line and its reflection; two isosceles from every point on that linetriangle
y=-x;
two points are switched and their signs are switched; same properties about isosceles triangle
Any point on the mirror line is equidistant from
the original line and its reflected image
Parabola
Vertex= line of symmetry
ax^2+bx+
c
When a>0; upwards; abs a>1 skinny; x intercepts are the solutions of the equation when it is set to 0
