[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 = -3/3 add

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

m = 4/5 add

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