Respuesta :

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].