Question

How to rewrite 6x-9y=14 in slope intercept form

Answer 1

y =
`(2)/(3)` x -
`(14)/(9)`

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given the equation

6x - 9y = 14 ( subtract 6x from both sides )

- 9y = - 6x + 14 ( divide through by - 9 )

`(-9)/(-9)` y =
`(-6)/(-9)` x +
`(14)/(-9)` , that is

y =
`(2)/(3)` x -
`(14)/(9)` ← in slope- intercept form