Question

Find the slope of the line through each pair of points

Answer 1

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

95)

`(-13,\ -10)\to x_1=-13,\ y_1=-10\\(16,\ 16)\to x_2=16,\ y_2=16`

substitute:

`m=(16-(-10))/(16-(-13))=(16+10)/(16+13)=(26)/(29)`

96)

`(6,\ -16)\to x_1=6,\ y_1=-16\\(-15,\ 9)\to x_2=-15,\ y_2=9`

substitute:

`m=(9-(-16))/(-15-6)=(25)/(-21)=-(25)/(21)`

97)

`(12,\ -11)\to x_1=12,\ y_1=-11\\(14,\ -12)\to x_2=14,\ y_2=-12`

substitute:

`m=(-12-(-11))/(14-12)=(-12+11)/(2)=-(1)/(2)`

OK. I think you already know how to solve it. I will give short solutions now.

98)

`m=(15-(-3))/(8-(-14))=(18)/(22)=(9)/(11)`

99)

`m=(3-(-5))/(-7-3)=(8)/(-10)=-(4)/(5)`

100)

`m=(-8-8)/(-11-0)=(-16)/(-11)=(16)/(11)`

101)

`m=(13-(-5))/(-13-(-13))=(18)/(0)!!!-\boxed{NOT\ EXIST}`

102)

`m=(18-1)/(-10-2)=(17)/(-12)=-(17)/(12)`

103)

`m=(19-14)/(7-(-17))=(5)/(24)`

104)

`m=(12-0)/(-6-4)=(12)/(-10)=-(6)/(5)`