Respuesta :

Answer

[tex]\begin{gathered} slope=\frac{1-2}{2-4} \\ slope=\frac{2-1}{4-2} \end{gathered}[/tex]

Explanations:

The formula for calculating the slope of a line passing through the points (x1, y1) and (x2, y2) is expressed as:

[tex]slope=\frac{y_2-y_1}{x_2-x_1}\text{ }or\text{ }\frac{y_1-y_2}{x_1-x_2}[/tex]

Given the coordinate points (4,2) and (2,1), the possible set up formulas are:

[tex]\begin{gathered} x_1=4 \\ y_1=2 \\ x_2=2 \\ y_2=1 \end{gathered}[/tex][tex]\begin{gathered} slope=\frac{1-2}{2-4} \\ slope=\frac{2-1}{4-2} \end{gathered}[/tex]

This are the slopes of the line formula