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we have the slope-point form
we have the slope m and one point (0,b), if we clear y we will obtain the slope-intercept form
[tex]\begin{gathered} y-b=m(x-0) \\ y-b=mx \\ y=mx+b \end{gathered}[/tex]so we obtain the slope-intercept form of the line that is
[tex]y=mx+b[/tex]