Question

16x+9y=40 whats the slope intercept

Answer 1

y= -16/9x+ 40/9

Explanation:

Subtract 16x to both sides to isolate the y variable.

16x+9y= 40

-16x -16x

This gives us...

9y= -16x+40

Now, divide by 9 to isolate the y variable.

9y= -16x+40

9 9 9

y= -16/9x+ 40/9

or,
`y = (40 - 16x)/(9)`
`= (40)/(9)`
`- (16x)/(9)`

or,
`y = (- (16)/(9))x + (40)/(9)`

Answer 2

y = -
`(16)/(9)` x +
`(40)/(9)`

Explanation:

The equation of a line in slope- intercept form is y = mx + c

Given

16x + 9y = 40 ( subtract 16x from both sides )

9y = - 16x + 40 ( divide all terms by 9 )

y = -
`(16)/(9)` x +
`(40)/(9)` ← in slope- intercept form