Respuesta :

mhanifa

Answer:

  • B. f(x) = -2/3x - 2

Step-by-step explanation:

Use points:

  • (-3, 0) and (0, -2)

Find the slope:

  • m = -2/(0 - (-3)) = -2/3

The y- intercept is -2.

The line is:

  • f(x) = -2/3x - 2

Correct choice is B

DᴀʀᴋPᴀʀᴀᴅᴏx

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

In the given figure, let's find the slope (m) of the line :

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

  • [tex] \dfrac{0 - ( - 2)}{ - 3 - 0} [/tex]

  • [tex] - \dfrac{2}{3} [/tex]

y - intercept (c) = -2

Equation of line will be :

  • [tex]f(x)= mx + c[/tex]

  • [tex]f(x) = - \dfrac{2}{3} x - 2[/tex]

hence, correct choice is B

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