Respuesta :

Answer: m = [tex]\frac{-7}{3}[/tex]

Step-by-step explanation:

The formula for calculating slope is given by :

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]x_{1}[/tex] = -2

[tex]x_{2}[/tex] = 1

[tex]y_{1}[/tex] = 5

[tex]y_{2}[/tex] = -2

substituting the values :

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

m = [tex]\frac{-7}{3}[/tex]

m = -7/3 Or -2.333


The slope formula

slope = (y₂ - y₁) / (x₂ - x₁)

Notice that the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values