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Suppose the y-intercept point is A .
So A = ( 0 , 3 ) ; This is the given point.
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[tex]y - y( \: g \: p \: ) = slope \times ( \: x - x( \: g \: p \: ) \: ) \\ [/tex]
Slope = ½
g p = given point = A = ( 0 , 3 )
Thus :
[tex]y - 3 = \frac{1}{2} \times (x - 0) \\ [/tex]
[tex]y - 3 = \frac{1}{2}x - \frac{1}{2} \times 0 \\ [/tex]
[tex]y - 3 = \frac{1}{2}x \\ [/tex]
Add sides 3
[tex]y - 3 + 3 = \frac{1}{2}x + 3 \\ [/tex]
[tex]y = \frac{1}{2}x + 3 \\ [/tex]
Done...
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