marlonsaravia29 marlonsaravia29
  • 12-03-2021
  • Mathematics
contestada

A line passes through the point (2, -9) and has a slope of -9. Write an equation in point-slope form for this line.

Respuesta :

Hrishii
Hrishii Hrishii
  • 12-03-2021

Answer:

[tex] y+9 = - 9x +18[/tex]

Step-by-step explanation:

Line is passing through the point [tex] (2,\: - 9) =(x_1,\:y_1) [/tex] and has slope (m) = - 9

General equation of line in point slope form is given as:

[tex] y-y_1 = m(x-x_1)[/tex]

Therefore

[tex] y-(-9) = - 9(x-2)[/tex]

[tex] y+9 = - 9x +18[/tex]

This is the required equation of line in point slope form.

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