Respuesta :

Answer:

slope = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 3 )

y = [tex]\frac{2}{3}[/tex] x - 4 ← in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Answer:

2/3

Step-by-step explanation:

Slope of the equation is determined as per slope-intercept form:

  • y = mx +b

Bring the given equation to mentioned form:

  • 2x - 3y = 12        ⇒ make y the subject
  • 3y = 2x - 12        ⇒ divide all terms by 3
  • y = 2/3x - 4        ⇒ this is the slope-intercept form

Since m = 2/3, it is the slope of the given equation

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