Answer:
The slope of the line AB is [tex]\frac{2}{5}[/tex].
Step-by-step explanation:
Given : Line AB contains points A(4, 5) and B(9, 7).
To find : What is the slope of line AB ?
Solution :
The formula to find slope between two points is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
In the given line,
[tex]A=(x_1,y_1)=(4, 5) ,B=(x_2,y_2)=(9,7)[/tex]
The slope of the line AB,
[tex]m=\frac{7-5}{9-4}[/tex]
[tex]m=\frac{2}{5}[/tex]
The slope of the line AB is [tex]\frac{2}{5}[/tex].