Respuesta :

Answer:

   y=(4/11)x+(-7/11)

[tex]y=\frac{4}{11}x+\frac{-7}{11}[/tex]

Step-by-step explanation:

Slope-intercept form is y=mx+b.

So we need to solve 4x-11y=7 for y.

First step: Get term that contains y by itself.  The term that contains y is -11y.

We need to subtract 4x on both sides:

4x-11y=7

-4x        -4x

---------------------

0-11y=7-4x

  -11y=7-4x

  -11y=-4x+7 (Addition is commutative)

Divide both sides by -11:

    y=(-4/-11)x+(7/-11)

Negative/negative is positive while positive/negative is negative.

So we have:

   y=(4/11)x+(-7/11)