Question

Write equation in standard form y-1= -1/4(x-6)

Answer 1

The standard form:

$Ax+By=C$

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$y-1=-\dfrac{1}{4}(x-6)$         use distributive property

$y-1=-\dfrac{1}{4}x+\dfrac{3}{2}$          multiply both sides by 8

$8y-8=-2x+4\cdot3$

$8y-8=-2x+12$           add 2x to both sides

$2x+8y-8=12$           add 8 to both sides

$\boxed{2x+8y=20}$