Linear function between two points

From two points

Point 1: $x_1=$ , $y_1=$
Point 2: $x_2=$ , $y_2=$
$y=ax+b$
$a=\frac{y_2-y_1}{x_2-x_1}=$
$b=\frac{x_2y_1-x_1y_2}{x_2-x_1}=$

At some points

$y=ax+b$
$a=$ , $b=$
$x=$ $y=ax+b=$
$y=$ $x=(y-b)/a=$
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