Respuesta :

The given points are (4,8) & (9,-4)

slope of a line =  Y2 - Y1

                            X2 - X1


              ====>   (-4) - 8   =    -12

                            9   - 4           5

Answer:

[tex] -2\frac{2}{5}[/tex]

Step-by-step explanation:

We have a line which passes through the points (4,8) and (9,-4). So with the help of these pair of points, we can find the slope of the line.

We know that:

[tex]Slope = \frac{y_2-y_1}{x_2=x_1}[/tex]

So putting in the values of the given coordinates to get:

[tex]-slope = \frac{8-(-4)}{4-9}[/tex]

[tex]= \frac{12}{-5}[/tex]

[tex]= -2\frac{2}{5}[/tex]

Therefore, the slope of the line which passes through the points (4,8) and (9,-4) is [tex] -2\frac{2}{5}[/tex].