Question 147542
Hi, hope I can help
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Determine the equation of a line through (0,9) with a slope of 1/2. Write the answer in slope intercept form.
The slope intercept form is = ( y = mx + b ), where "m" is the slope.
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It has given  us the slope, so we can replace "m" with {{{ 1/2 }}},
It would be [y = (1/2)x + b], or
{{{ y = (1/2)x + b }}} 
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It also gave us a point through the line, (0,9)
Since points are in the form (x,y), we can replace the "x" and "y" in our equation, ( x = 0)( y = 9), and solve for b.
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{{{ 9 = (1/2)0 + b }}} 
{{{ 9 = 0 + b }}} 
{{{ 9 = b }}}, or {{{ b = 9 }}}
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Now we can replace the "b" with the 9.
The equation of the line would be {{{ y = (1/2)x + 9 }}}
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You can check by replacing the "x" and "y" again with (0,9).
{{{ 9 = (1/2)0 + 9 }}} 
{{{ 9 = 0 + 9 }}} 
{{{ 9 = 9 }}} 
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Some other points to {{{ y = (1/2)x + 9 }}}
are
(2,10), (-2,8), (-18,0), (6,12)
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Hope I helped, Levi