Respuesta :

Answer:

I think it's y < 3x +1

Step-by-step explanation:

subtract 6x to the right side. that's -2y > -6x - 2. then divide -2 out of y, now you have to flip the sign. Now you have y < 3x + 1

Answer:

The inequality into slope Intercept form is:

  • [tex]y<3x+1[/tex]

Step-by-step explanation:

We know that the slope-intercept form of a linear function is

[tex]y = mx+b[/tex]

where

  • m is the slope
  • b is the y-intercept

Given the inequality

[tex]6x-2y>\:-2[/tex]

subtract 6x from both sides

[tex]6x-2y-6x>-2-6x[/tex]

Simplify

[tex]-2y>-2-6x[/tex]

Multiply both sides by -1 (reverses the inequality)

[tex]\left(-2y\right)\left(-1\right)<-2\left(-1\right)-6x\left(-1\right)[/tex]

Simplify

[tex]2y<2+6x[/tex]

Divide both sides by 2

[tex]\frac{2y}{2}<\frac{2}{2}+\frac{6x}{2}[/tex]

[tex]y<3x+1[/tex]

Therefore, the inequality into slope Intercept form is:

  • [tex]y<3x+1[/tex]
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