How do you write y-2/3 = -2( x-1/4 )y−23=−2(x−14) in standard form?

1 Answer
Pythagoras
Sep 18, 2015

y = -2x + frac(7)(6) y=−2x+76

Explanation:

y-frac(2)(3) = -2(x-frac(1)(4))y−23=−2(x−14)
so, after opening the parentheses, we get
y-frac(2)(3) = -2x + frac(2)(4)y−23=−2x+24
which simplifies to
y-frac(2)(3) = -2x + frac(1)(2)y−23=−2x+12
and moving -frac(2)(3)−23 on the other side of the equality
y = -2x + frac(1)(2)+frac(2)(3)y=−2x+12+23
then performing the fraction calculation
y = -2x + frac(3)(6)+frac(4)(6)y=−2x+36+46
which gives
y = -2x + frac(7)(6) y=−2x+76

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