Question 828323
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Slope-intercept form is 

y = mx + b  where the m and the b represent numbers:

y - 9 = {{{1/2}}}(x + 6)

Distribute the fraction {{{1/2}}} into the parentheses:

y - 9 = {{{1/2}}}x + 3

Add 9 to both sides:

    y = {{{1/2}}}x + 12 

The slope is {{{1/2}}} and the y intercept is (0,12)

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First we use the slope formula:

m = {{{(y[2]-y[1])/(x[2]-x[1])}}}

where (x<sub>1</sub>,y<sub>1</sub>) = (11,8)
and where (x<sub>2</sub>,y<sub>2</sub>) = (-1,8)
m = {{{(8-8)/(-1-11)}}}

m = {{{0/(-12)}}}

m = 0

Point-slope formula:

y - y<sub>1</sub> = m(x - x<sub>1</sub>)

where m = 0 and (x<sub>1</sub>,y<sub>1</sub>) = (11,8)

y - 8 = 0(x - 11)

Distribute the 0

y - 8 = 0x - 0

Add 8 to both sides:

    y = 0x + 8

You can write that without the 0x as 

y = 8 

but written that way doesn't show the slope of m = 0

Edwin</pre>