Answer
$b=y_1-mx_1$
Work Step by Step
We know that if the slope of a line is $m$ and it contains $P_1(x_1,y_1)$, then its equation is: $y-y_1=m(x-x_1).$
The y-intercept is when $x=0$ and $y=b$, thus
$b-y_1=m(0-x_1)\\b=y_1-mx_1$
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