Types of Linear Systems

~ Consistent System ~ ordered pair solution
lines intersect; meet at one point
slope of lines are different
intercepts are different unless intersection is on the
intercept



~ Inconsistent System ~ no solution
lines are parallel
slopes are the same
intercepts are all different



~ Dependent System ~ many solutions (infinitely)
lines are super imposed
slopes are the same
intercepts are the same




~ Slope Form ~
y = m(x) + b

~ Standard Form ~
A(x) + B(y) + C = 0

~ Point-Slope Form ~
y - y1 = m(x - x1)