Respuesta :

The equation of the line is y = [tex]\frac{2}{3}[/tex] x + 9

Step-by-step explanation:

The equation of a line in slope-intercept form is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept ⇒ the value of y when x = 0

∵ The line has a slope [tex]\frac{2}{3}[/tex]

∴ m = [tex]\frac{2}{3}[/tex]

∵ The y-intercept is 9

∴ b = 9

- Substitute the values of m and b in the form of the equation below

∵ y = m x + b

∴ y = [tex]\frac{2}{3}[/tex] x + 9

The equation of the line is y = [tex]\frac{2}{3}[/tex] x + 9

Learn more:

You can learn more about the linear equations in brainly.com/question/12941985

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