julianamiranda56 julianamiranda56
  • 09-10-2020
  • Mathematics
contestada

.
What is the y intercept of the line represented by the equation
3x+2y = 6?

Respuesta :

mastercookie55
mastercookie55 mastercookie55
  • 09-10-2020

Answer:

3

Step-by-step explanation:

To identify the y-intercept represented by the given equation, we need to get the equation into slope-intercept from:

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

[tex]m=slope[/tex]

[tex]b=y-intercept[/tex]

Start with:

[tex]3x+2y=6[/tex]

Subtract [tex]3x[/tex] from both sides of the equation:

[tex]2y=-3x+6[/tex]

Divide both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]2[/tex]:

[tex]y=-1.5x+3[/tex]

Identify the y-intercept:

[tex]b=3[/tex]

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