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Write the equation of the line that passes through the points (-6,-4) (6,-9) Put your answer in fully reduce points out form unless it is a vertical or horizontal line

Respuesta :

mathstudent55

Answer:

[tex] 5x + 12y = -78 [/tex]

or

[tex] y = -\dfrac{5}{12}x - \dfrac{13}{2} [/tex]

Step-by-step explanation:

[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]

[tex] y - (-4) = \dfrac{-9 - (-4)}{6 - (-6)}(x - (-6)) [/tex]

[tex] y + 4 = \dfrac{-9 + 4}{6 + 6}(x + 6) [/tex]

[tex] y + 4 = \dfrac{-5}{12}(x + 6) [/tex]

[tex] 12y + 48 = -5x - 30 [/tex]

[tex] 5x + 12y = -78 [/tex]

[tex] 12y = -5x - 78 [/tex]

[tex] y = -\dfrac{5}{12}x - \dfrac{13}{2} [/tex]

Answer:

[tex] 5x + 12y = -78 [/tex]

or

[tex] y = -\dfrac{5}{12}x - \dfrac{13}{2} [/tex]

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