Question 664850
Knowing the slope and having one set of coordinates, solve for b, y-intercept
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Using y = mx+b, m={{{1/2}}} and (-3, 2),
2 = {{{1/2}}}-3 + b
b = 2+{{{3/2}}} = {{{(4/2)+(3/2)}}} = 7/2
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slope-intercept form: y = {{{1/2}}}x + 7/2
For general form: 
{{{1/2}}}x - y + {{{7/2}}} = 0
Multiply the entire equation by 2 to be rid of fractions
{{{highlight(standard)}}}: x - 2y + 7 = 0
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Alternatively, using point-slope formula
y-2 = {{{1/2}}}(x-(-3)
y-2 = {{{1/2}}}x + {{{3/2}}}
Multiply the entire equation by 2 to be rid of fractions
2y - 4 = x + 3
general form: x - 2y + 7 = 0
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{{{graph(300,200,-10,10,-10,10,(1/2)x+(7/2))}}}
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