Respuesta :

A linear equation in slope intercept form that passes through the points (-11 -5) and (1 -2) is:

[tex]y=\frac{1}{4}x-\frac{9}{4}[/tex]

Step-by-step explanation:

Given:

Explicit formula for sequence

[tex]A(n)=9+(n-1)(-5)[/tex]

To find the 7th term we have to put n=7

So,

[tex]A(7)=9+(7-1)(-5)\\=9+(6)(-5)\\=9-30\\=-21[/tex]

A linear equation in slope intercept form that passes through the points (-11 -5) and (1 -2) is:

[tex]y=\frac{1}{4}x-\frac{9}{4}[/tex]

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

  • brainly.com/question/4771355
  • brainly.com/question/4786449

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