Question

How do you write `y-2/3 = -2( x-1/4 )` in standard form?

Answer 1

`y = -2x + frac(7)(6)`

Explanation:

`y-frac(2)(3) = -2(x-frac(1)(4))`
so, after opening the parentheses, we get
`y-frac(2)(3) = -2x + frac(2)(4)`
which simplifies to
`y-frac(2)(3) = -2x + frac(1)(2)`
and moving `-frac(2)(3)` on the other side of the equality
`y = -2x + frac(1)(2)+frac(2)(3)`
then performing the fraction calculation
`y = -2x + frac(3)(6)+frac(4)(6)`
which gives
`y = -2x + frac(7)(6)`