Respuesta :

The slope of the line given the points (2, 1) and (1, -4) is 5

Calculating the slope of a line

The given points are:

(2, 1) and (1, -4)

The slope of a line that passes through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given as:

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

Substitute [tex]x_1=2, y_1=1, x_2=1, y_2=-4[/tex] into the slope formula

[tex]m=\frac{-4-1}{1-2} \\\\m=\frac{-5}{-1} \\\\m=5[/tex]

Therefore, the slope of the line given the points (2, 1) and (1, -4) is 5

Learn more on the slope of a line here: https://brainly.com/question/3493733