Respuesta :

Answer

Explanation

For a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as

[tex]Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=\frac{y_2-y_1}{x_2-x_1}[/tex]

For this question,

(x₁, y₁) and (x₂, y₂) are (-2, 6) and (2, -10)

[tex]\text{Slope = }\frac{-10-6}{2-(-2)}=\frac{-16}{2+2}=\frac{-16}{4}=-4[/tex]

Slope = m = -4