Question

Find the equation of line passing through (-7,-9) and parallel to the 8x-9y+2=0

Answer 1

Lets get started :)

8x - 9y + 2 = 0
9y = 8x + 2
y =
`(8)/(9)x + (2)/(9)`

Since the equation of this line is parallel to the one to be found, both have the same slopes:
`(8)/(9)`

Coordinates : ( - 7 , - 9 )

y - ( -9 ) =
`(8)/(9)` ( x - ( -7 ) )
y + 9 =
`(8)/(9)x + (56)/(9)`
y =
`(8)/(9)x + (56)/(9) - 9`

y =
`(8)/(9)x - (25)/(9)`