07-07-2022
Mathematics

contestada

Line l has slope −4/5, and contains points (a,−6),(−8,a). Determine the value of a. SHOW YOUR WORK

Respuesta :

georgepahno georgepahno

07-07-2022

Answer:

a = 2

Step-by-step explanation:

[tex] \frac{a - ( - 6)}{ - 8 - a} = - \frac{4}{5} [/tex]

[tex] \frac{a + 6}{a + 8} = \frac{4}{5} [/tex]

[tex]4(a + 8) = 5(a + 6)[/tex]

[tex]4a + 32 = 5a + 30[/tex]

[tex]a = 2[/tex]

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