Question

Put this equation into slope intercept form 6x+12y=9

Answer 1

y = -
`(1)/(2)` x +
`(3)/(4)`

The equation of a line in slope-intercept form is

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

rearrange 6x + 12y = 9 into this form

subtract 6x from both sides

12y = - 6x + 9 ( divide all terms by 12 )

y = -
`(6)/(12)` x +
`(9)/(12)` ( which simplifies to )

y = -
`(1)/(2)` x +
`(3)/(4)`