Respuesta :

Ashraf82

Answer:

The equation -x + 6y = -7 does not represent direct variation.

Step-by-step explanation:

  • The form of the linear equation is y = m x + b, where m is the slope of the line which represents the equation and b is the y-intercept
  • The direct variation is a linear relation, and represented graphically by a line passes through the origin, which means the y-intercept is (0. 0), then (b = 0)
  • The equation of the direct variation is y = m x

Let us solve the question

∵ The equation is -x + 6y = -7

→ Substitute x by 0 to find the value of y-intercept

∵ x = 0

∴ 0 + 6y = -7

∴ 6y = -7

- Divide both sides by 6 to find y

∴ y = [tex]-\frac{7}{6}[/tex]

∴ The y-intercept of the equation is (0, [tex]-\frac{7}{6}[/tex] )

∵ The y-intercept of the direct variation is (0, 0)

∴ The equation -x + 6y = -7 does not represent direct variation.

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