Answer: (2,4) and (5,1) → Negative slope
(-7,8) and (-7,0) → Undefined slope
(3,5) and (-1,2) → Positive slope
(6,-3) and (-4,-3) → Zero slope
Step-by-step explanation:
We know that the slope of a line passing through points (a,b) and (c,d) is given by :-
[tex]m=\dfrac{d-b}{c-a}[/tex]
The slope of a line passing through points (2,4) and (5,1) is given by :-
[tex]m=\dfrac{1-4}{5-2}=\dfrac{-3}{3}=-1[/tex]
⇒ Negative slope
The slope of a line passing through points (-7,8) and (-7,0) is given by :-
[tex]m=\dfrac{0-8}{-7-(-7)}=\dfrac{-8}{0}[/tex]
⇒ Undefined slope
The slope of a line passing through points (3,5) and (-1,2) is given by :-
[tex]m=\dfrac{2-5}{-1-5}=\dfrac{-3}{-6}=\dfrac{1}{2}[/tex]
⇒ Positive slope
The slope of a line passing through points (6,-3) and (-4,-3) is given by :-
[tex]m=\dfrac{-3-(-3)}{-4-6}=\dfrac{0}{-10}=0[/tex]
⇒ Zero slope
