Answer: \(\dfrac{4}{3}\ or\ 1\dfrac{1}{3}\)
Step-by-step explanation:
The slope of a line that passes through two points (a,b) and (c,d) is given by :-
\(m=\dfrac{d-b}{c-a}\)
Then, the slope of a line that passes through two points (-3,-8) and (-12,-20) will be :-
\(m=\dfrac{-20-(-8)}{-12-(-3)}\\\\\Rightarrow\ m=\dfrac{-(20-8)}{-(12-3)}\ \ \text{[By using distributive property]}\\\\\Rightarrow\ m=\dfrac{-(12)}{-(9)}\\\\\Rightarrow\ m=\dfrac{12}{9}=\dfra{3\times4}{3\times 3}\\\\\Rightarrow\ m=\dfrac{4}{3}\)
Hence, the slope of a line that passes through two points (-3,-8) and (-12,-20) =\(\dfrac{4}{3}\ or\ 1\dfrac{1}{3}\)
