Question

How do I convert standard form to point slope

Answer 1

The point-slope form:

$y-y_1=m(x-x_1)$

$(x_1,\ y_1)$ - given point

$m$ - given slope

The standard form:

$Ax+By=C$

$y-y_1=m(x-x_1)$    use distributive property

$y-y_1=mx-mx_1$      add $y_1$ to both sides

$y=mx-mx_1+y_1$      subtract $mx$ from both sides

$-mx+y=-mx_1+y_1$       change the signs

$mx-y=mx_1-y_1$