Question

What is the equation of the line that goes through `(5,9)` and `( 0,- 8)`?

Answer 1

`17x-5y=40`

Explanation:

`(x_1,y_1) = (5,9)`
`(x_2,y_2) = (0,-8)`
eq of line passing through these two points : `(y-y_1)/(x-x_1) = (y_2-y_1 )/(x_2-x_1)`
`(y-9)/(x-5) = (-8-9)/(0-5)`
`y-9 = (x-5)17/5`
`5y-45 = 17x-85`
`17x-5y-40=0`