austinp7632
austinp7632 austinp7632
  • 08-10-2019
  • Mathematics
contestada

What is the function rule for the line?

f(x)=−23x−2

f(x)=−32x+2

f(x)=−32x−2

f(x)=32x−2

What is the function rule for the line fx23x2 fx32x2 fx32x2 fx32x2 class=

Respuesta :

slicergiza slicergiza
  • 22-10-2019

Answer:

[tex]y=-\frac{2}{3}x-2[/tex]

Step-by-step explanation:

By the given graph,

The line is passes through (-3, 0) and (0, -2),

Since, the equation of the line passes through [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is,

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Thus, the equation of the line shown in the graph,

[tex]y-0=\frac{-2-0}{0+3}(x+3)[/tex]

[tex]y=-\frac{2}{3}(x+3)[/tex]

[tex]y=-\frac{2}{3}x-2[/tex]

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