Question

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

Answer 1

Answer: y=2/3x+5

Explanation:

Multiply both sides by 33.3(y+1)=3(−23⋅(x+6))3(y+1)=3(-23⋅(x+6))Simplify the left side.Simplify 3(y+1)3(y+1).3y+3=3(−23⋅(x+6))3y+3=3(-23⋅(x+6))Simplify the right side.Simplify 3(−23⋅(x+6))3(-23⋅(x+6))..3y+3=−2x−123y+3=-2x-12Move all terms containing variables to the left side of the equation.Add 2x2x to both sides of the equation.3y+3+2x=−123y+3+2x=-12Move 33.3y+2x+3=−123y+2x+3=-12Reorder 3y3y and 2x2x.2x+3y+3=−122x+3y+3=-12Move all terms not containing a variable to the right side of the equation.Subtract 33 from both sides of the equation.2x+3y=−12−32x+3y=-12-3Subtract 33 from −12-12.2x+3y=−152x+3y=-15

Answer 2

y = (2/3)x + 5

Explanation:

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

y - 1 = 2x/3 + 4 -- Distribute the 2/3.

y = 2x/3 + 4 + 1 -- Add 4 to both sides.

y = 2x/3 + 5 -- Simplify.