Coordinate Geometry

1
Coordinate Geometry

• OBJECTIVES
• write graph linear equations
• use statistics with linear equations
• locate points in space

2
Graphing linear equations

• Slope m
• Slope-intercept form of the equation
• y mx b, where m slope b
  y-intercept
• Standard form Ax By C
• x-term y-term on left of and constant
  on right. The A B are integers, A is
  positive.

3
Writing linear equations

• Point-slope form of a line y y1 m ( x x1
  )
• where m slope (x1, y1) is a given point
  the x and y are the 2 variables of the axis

Given point (3, 2) a slope of m 2 The
equation of the line y 2 2 ( x
3) --theres only 1 equation that fits

4
Statistics scatter plots slopes

• Scatter plots show the relationship between 2
  variables (like x speed y cost) from data
  from surveys, observations, etc.
• They look like a bunch of points plotted on a
  graph
• Imagine a line of best fit running through the
  pointspick 2 points on the line
• Use the point-slope form to write the equation
• Solve it for y

5
Coordinates in space
z

• Points are ordered triples
• (x, y, z)
• Distance between A (x1, y1, z1) and B (x2, y2,
  z2)

B
y
A
x