Padgettd230
Padgettd230 Padgettd230
  • 11-07-2020
  • Mathematics
contestada

Write the equation of the line in Point-Slope Form given the information below. Use Point One. point 1=(-1,-1) Point 2-(0,4)

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unicorn3125
unicorn3125 unicorn3125
  • 18-07-2020

Answer:

             [tex]\bold{y+1=5(x+1)}[/tex]

Step-by-step explanation:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-1,\,-1)\ \implies\ x_1=-1\,,\ y_1=-1\\(0,\,4)\ \implies\ x_2=0\,,\ y_2=4\\\\m=\dfrac{4-(-1)}{0-(-1)}=\dfrac{5}{1}=5[/tex]

[tex]y-y_1=m(x-x_1)[/tex]      - point-slope form of Equation of the Line

[tex]x_1=-1\,,\ y_1=-1\,,\ m=5\\\\equation:\\{}\qquad\qquad y-(-1)=5\big(x-(-1)\big)\\\\{}\qquad\qquad y+1=5\big(x+1\big)[/tex]

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