Question

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

Answer 1

Answer:

a = 16

Step-by-step explanation:

$y + 4 = \dfrac{3}{4}(x-8)\\\\y + 4 = \dfrac{3}{4}x- \dfrac{3}{4}*8\\\\y +4 = \dfrac{3}{4}x-3*2\\\\y+4+6= \dfrac{3}{4}x \\\\y+10= \dfrac{3}{4}x$

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

$2+10= \dfrac{3}{4}*a\\\\12= \dfrac{3}{4}a\\\\12* \dfrac{4}{3}=a\\\\a=4*4\\\\a=16$