Question 213009
Graph the line (2,3) with 1/2 slope.


Step 1.  No Point-Slope equation given as 


{{{m = (y-y1)/(x-x1)}}}  where {{{x1=2}}} and {{{y1=3}}}  and {{{m=1/2}}}


Step 2.  Substituting above values yields,


{{{1/2 = (y-3)/(x-2)}}}


Step 3.   Multiply by {{{2(x-2)}}} to both sides of equation to get rid of denominator.


{{{2(x-2)/2 = 2(x-2)(y-3)/(x-2)}}}


{{{x-2 = 2(y-3)}}}


{{{x-2 = 2y-3}}}


Step 4.  Now add 2-2y to both sides of equation to get in standard form:  Ax+By=C where A, B, and C are constants.


{{{x-2+2-2y = 2y-3+2-2y}}}


{{{x-2y = -1}}}

OR rewritten in slope-intercept form yields


{{{y=(x-2)/2+3=x/2-1+3=x/2+2}}}


{{{graph(300,300,-5,5,-5,5, x/2+2)}}}


I hope the above steps were useful.


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Good Luck in Your Studies also!


Respectfully,
Dr J