Respuesta :

Answer:

4

Step-by-step explanation:

DᴀʀᴋPᴀʀᴀᴅᴏx

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

let's find the slope of the line :

that is :

  • [tex] \dfrac{y2 - y1}{x2 - x1}[/tex]

taking two points (0 , 4) and (2 , -4)

  • [tex] \dfrac{4 - ( - 4)}{0 - 2} [/tex]

  • [tex] \dfrac{8}{ - 2} [/tex]

  • [tex] - 4[/tex]

Slope (m) of the graph = -4

and y - intercept (c) = 4

therefore, the equation will be :

  • [tex]y = mx + c[/tex]

  • [tex]y = - 4x + 4[/tex]