Question

Write y −2 = 1/3 (x + 6) in standard form.

Answer 1

To write y −2 = 1/3 (x + 6) in standard form, we need to rewrite the equation so that the x-term is on the left side and all other terms are on the right side. To do this, we can first distribute the 1/3 through the parentheses to get:

y - 2 = 1/3x + 2

Then, we can move the -2 to the right side of the equation by adding 2 to both sides:

y = 1/3x + 4

This equation is now in standard form, which is Ax + By = C, where A, B, and C are constants. In this case, A = 1/3, B = 1, and C = 4.

Explanation:

Answer 2

• x - 3y = - 12

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Given line in point-slope form:

• y - 2 = 1/3 (x + 6)

Convert this to standard form of ax + by = c:

• y - 2 = 1/3 (x + 6)
• 3(y - 2) = x + 6
• 3y - 6 = x + 6
• x - 3y = - 6 - 6
• x - 3y = - 12