Question

(-3,-8) (-12,-20) find the slope show the work

Answer 1

-20 - (-8) = -12
-12 - (-3) = -9

-12/-9 = -4/-3

slope= -4/3

Answer 2

Answer:
`(4)/(3)\ or\ 1(1)/(3)`

Explanation:

The slope of a line that passes through two points (a,b) and (c,d) is given by :-

`m=(d-b)/(c-a)`

Then, the slope of a line that passes through two points (-3,-8) and (-12,-20) will be :-

`m=(-20-(-8))/(-12-(-3))\\\\\Rightarrow\ m=(-(20-8))/(-(12-3))\ \ \text{[By using distributive property]}\\\\\Rightarrow\ m=(-(12))/(-(9))\\\\\Rightarrow\ m=(12)/(9)=\dfra{3*4}{3* 3}\\\\\Rightarrow\ m=(4)/(3)`

Hence, the slope of a line that passes through two points (-3,-8) and (-12,-20) =
`(4)/(3)\ or\ 1(1)/(3)`