[slope][section 21]

[Find the slope of the line containing the given points]

(1.)  (1,2) and (-3,5)           here is the problem

m = (y2 - y1)/(x2 - x1)  use the slope formula

m = (5 - 2)/(-3 - 1)     make substitutions

m = 3/-4                 subtract

m = -3/4               reduce

result:   m = -3/4

(2.)  (-5,-1) and (-2,-4)        here is the problem

m = (y2 - y1)/(x2 - x1)     use the slope formula

m = (-4 - -1)/(-2 - -5)     make substitutions

m = -1             reduce

result:   m = -1

(3.)  (-3,-11) and (2,-7)           here is the problem

m = (y2 - y1)/(x2 - x1)   use the slope formula

m = (-7 - -11)/(2 - -3)   make substitutions

result:  m = 4/5

(4.)  (4,-2) and (3,2)              here is the problem

m = (y2 - y1)/(x2 - x1)   use the slope formula

m = (2 - -2)/(3 - 4)   make substitutions

m = 4/-1                   add and subtract

m  = -4                   divide

result:  m = -4

(5.)  (6,-9) and (-1,-1)            here is the problem

m = (y2 - y1)/(x2 - x1)  use the slope formula

m = (-1 - -9)(-1 - 6)   make substitutions

m = 8/-7                      add and subtract

m = -8/7                   reduce

result:  m = -8/7

(6.)  (8,-2) and (12,1)          here is the problem

m = (y2 - y1)/(x2 - x1)   use the slope formula

m = (1 - -2)/(12 - 8)    make substitutions

m = 3/4                      add and subtract

result:  m = 3/4

(7.)  (0,0) and (-4,2)            here is the problem

m = (y2 - y1)/(x2 - x1) use the slope formula

m = (2 - 0)/(-4 - 0)     make substitutions

m = 2/-4                         subtract

m = -1/2             reduce

result:  m = -1/2

(8.)  (3,-2) and (0,0)                here is the problem

m = (y2 - y1)/(x2 - x1)  use the slope formula

m = (0 - -2)/(0 - 3)   make substitutions

m = 2/-3              add and subtract

m =  -2/3            reduce

result:  m = -2/3

(9.)  (7,3) and (9,1)            here is the problem

m = (y2 - y1)/(x2 - x1)    use the slope formula

m = (1 - 3)/(9 - 7)      make substitutions

m = -2/2                    subtract

m = -1                    divide

result:  m = -1

(10.)  (-2,2) and (0,3)                here is the problem

m = (y2 - y1)/(x2 - x1)  use the slope formula

m = (3 - 2)/(0 - -2)    make substitutions

m = 1/2                     subtract & add

result:   m = 1/2