C2-3: Equations of Linear Functions

C2-3: Equations of Linear Functions

1. equations

   • slope intercept
     • y=mx+b
   • point slope
     • y-y=m(x-x)
   • vertical
     • x=a (x intercept)
     • y=-c/a (general)
   • horizontal
     • y=b (y intercept)
     • y= - c/b
   • slope
     • rise/run or y2-y1/x2-x1
   • general
     • ax+by+c=0
   • standard
     • ax+by=c

2. vocab

   • slope intercept form
   • slope point form
   • general form

3. types of lines

   • oblique
     • slanted lines that will always intersect both the x and y axis'
   • horizontal
     • parallel to the x axis and will only have a y intercept
   • vertical
     • are parallel to the y axis and only have an x intercept

4. Tips

   • given the equation of any straight line we can determine the x and y intercepts by replacing one variable with 0 and solving the other
   • its common to express the equation of a linear function in either point slope or general form
   • unlike oblique and horizontal lines a vertical line is not a function
   • parallel lines have the same slope
   • perpendicular lines are negative reciprocals of each othe
   • you can use any point on the line to find the