Question

Does the equation: -x + 6y = -7 represent direct variation?

Answer 1

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

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 =
`-(7)/(6)`

∴ The y-intercept of the equation is (0,
`-(7)/(6)` )

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

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