chloeteter chloeteter
  • 11-03-2022
  • Mathematics
contestada

Find the linear function with the following properties.
f(-4) = 7
f(-8) = -4

Find the linear function with the following properties f4 7 f8 4 class=

Respuesta :

semsee45
semsee45 semsee45
  • 11-03-2022

Answer:

[tex]\mathsf{ y=\dfrac{11}{4}x+18}[/tex]

Step-by-step explanation:

[tex]\mathsf{(x_1,y_1)=(-4,7)}[/tex]

[tex]\mathsf{(x_2,y_2)=(-8,-4)}[/tex]

[tex]\mathsf{slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-7}{-8+4}=\dfrac{11}{4}}[/tex]

[tex]\mathsf{y-y_1=m(x-x_1)}[/tex]

[tex]\mathsf{\implies y-7=\dfrac{11}{4}(x+4)}[/tex]

[tex]\mathsf{\implies y=\dfrac{11}{4}x+18}[/tex]

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