Respuesta :
Answer: [tex]\dfrac{2}{5}[/tex]
Step-by-step explanation:
We know that slope of a line that passes through P(a,b) and Q(c,d) is given by :-
[tex]m=\dfrac{d-b}{c-a}[/tex]
Given points : A(4, 5) and B(9, 7).
Then, the slope of line AB that contains points A(4, 5) and B(9, 7) is given by :-
[tex]m=\dfrac{7-5}{9-4}\\\\\Rightarrow\ m=\dfrac{2}{5}[/tex]
Hence, the slope AB =[tex]\dfrac{2}{5}[/tex]