italianboy69 italianboy69
  • 12-10-2021
  • Mathematics
contestada

The line y+4=3/4(x-8) contains point (a,2). Find a.

Respuesta :

devishri1977
devishri1977 devishri1977
  • 12-10-2021

Answer:

a = 16

Step-by-step explanation:

[tex]y + 4 = \dfrac{3}{4}(x-8)\\\\y + 4 = \dfrac{3}{4}x- \dfrac{3}{4}*8\\\\y +4 = \dfrac{3}{4}x-3*2\\\\y+4+6= \dfrac{3}{4}x \\\\y+10= \dfrac{3}{4}x[/tex]

Now plugin x = a and y =2 in the above equation,

[tex]2+10= \dfrac{3}{4}*a\\\\12= \dfrac{3}{4}a\\\\12* \dfrac{4}{3}=a\\\\a=4*4\\\\a=16[/tex]

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