Question 243527
The Slope-Intercept Form of a Line is expressed this way: {{{y=mx+b}}}, where m=slope.
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Our goal is to make the equation given to you look like the one I just presented to you.  The y value must not have a coefficient.  A missing coefficient is understood to be 1 (as any number multiplied by 1 equals to itself, we therefore don't write 1 as a coefficient.  For example: 1y = y.
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Now, let's work the problem:
{{{x+8y=16}}}
{{{8y=-x+16}}}
{{{y=-(1/8)x+16/8}}}
{{{y=-(1/8)x+2}}} <--- this is the slope-intercept form for this equation.
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Since m = slope, our slope here is {{{-(1/8)}}}
Done!