Question

What is the slope intercept from for 16x+9y=40

Answer 1

`y =  (- (16)/(9))x +  (40)/(9)`is the slope intercept form for 16x+9y=40

Explanation:

Here, the given equation is 16 x + 9 y = 40

Now, the slope intercept form of an equation is y = mx + c,

here m = slope of the equation, b = y - intercept

So, now 16x + 9y = 40 on simplification gives

9y = 40 - 16x

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

or,
`y =  (- (16)/(9))x +  (40)/(9)`is the slope intercept form of the given equation.

Here, m = (-16/9) and y- intercept = 40/9