capalotneedy capalotneedy
  • 11-05-2022
  • Mathematics
contestada

Line passes through (1,-9) and has a slope of -3

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shanshancupcake
shanshancupcake shanshancupcake
  • 11-05-2022

Answer:

[tex]y = - 3x - 6[/tex]

Step-by-step explanation:

The standard form for the equation of a line is

[tex]y = mx + c[/tex]

(Note that m is the slope)

We were told that:

[tex]y = - 9 \: \: \: x = 1 \: \: \: m = - 3[/tex]

Therefore, the equation of the line is

[tex]y = mx + c \\ - 9 = ( - 3)1 + c \\ - 9 = - 3 + c \\ - 9 + 3 = c \\ - 6 = c[/tex]

Answer:

[tex]y = - 3x -6[/tex]

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