Respuesta :

hello

the question given requires us to find the slope of a line from the given points

to find the slope of a line, we can simply use the formula

[tex]\begin{gathered} m=\frac{\text{rise}}{\text{run}} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ \end{gathered}[/tex]

now, let's identify the points here

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

we can simply substitute these values into the equation

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{4-1}{2-4} \\ m=-\frac{3}{2} \end{gathered}[/tex]

from the calculation above, the slope of the line from the given points is -3/2