Solve for y in $y + 1/2 = -1/3(x+1/2)$ ?

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Answer 1 · 2015-04-07T05:44:33

The solution is $y=-1/3x-2/3$ .

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

Perform the distributive property first.

$y+1/2=-1/3x-1/6$

Subtract $1/2$ from both sides. The common denominator for $1/2$

and $1/6$ is $6$ . So $1/2*3/3=3/6$ .

$y=-1/3x-1/6-3/6$ =

$y=1/3x-4/6$ =

Reduce $4/6$ to $2/3$ .

$y=-1/3x-2/3$

If this is supposed to be the slope-intercept equation for a line, the slope is $-1/3$ and the y-intercept is $-2/3$ .

Solve for y in y + 1/2 = -1/3(x+1/2)y + 1/2 = -1/3(x+1/2)?