Respuesta :

Answer:

[tex]y =  (- \frac{16}{9})x +  \frac{40}{9}[/tex]is the slope intercept form for 16x+9y=40

Step-by-step 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 [tex]y = \frac{40 - 16x}{9}  = \frac{40}{9}   - \frac{16x}{9}[/tex]

or, [tex]y =  (- \frac{16}{9})x +  \frac{40}{9}[/tex]is the slope intercept form of the given equation.

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

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