Respuesta :

Answer:

The equation on the the 'point-slope' form of the equation that passes through point (1,9) with the slope -2 will be: [tex]y\:-9=\:-2\left(x\:-\:1\:\right)[/tex]

Step-by-step explanation:

The 'point-slope' form of the equation of a straight line can be written as:

[tex]y\:-y_1\:=\:m\left(x\:-\:x1\:\right)[/tex]

Given

  • point (1, 9)
  • m = -2

Plugging in the 'point-slope' form of the equation of a straight line

[tex]y\:-y_1\:=\:m\left(x\:-\:x1\:\right)[/tex]

[tex]y\:-9=\:-2\left(x\:-\:1\:\right)[/tex]

Therefore,

The equation on the the 'point-slope' form of the equation that passes through point (1,9) with the slope -2 will be: [tex]y\:-9=\:-2\left(x\:-\:1\:\right)[/tex]

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