How do you find the slope given $- x = 2 y - 6$ $-x=2y-6$ ?

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How do you find the slope given $- x = 2 y - 6$ $-x=2y-6$ ?

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Answer 1 · 2015-07-16T04:04:41

I found: slope $= - \frac{1}{2}$ $=-1/2$

Explanation:

I would change your equation into slope-intercept form by isolating $y$ $y$ on one side and "read" the value of the slope directly.
So:
$2 y = - x + 6$ $2y=-x+6$
$y = - \frac{1}{2} x + \frac{6}{2}$ $y=-1/2x+6/2$
$y = - \frac{1}{2} x + 3$ $y=-1/2x+3$
The slope will be the numerical coefficient of $x$ $x$ , i.e., $- \frac{1}{2}$ $-1/2$

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How do you find the slope given $- x = 2 y - 6$ $-x=2y-6$ ?

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