Find the slope.

\(m = \frac{16-8}{-4-2}=\frac{8}{-6}=\frac{-4}{3}\)

Write the equation in point-slope form, simplify, then rewrite in standard form.

\(y-8=\frac{-4}{3}(x-2)\)

Simplify

\(y-8=\frac{-4}{3x}+\frac{8}{3}\)

Simplify

\(y=\frac{-4}{3x}+\frac{32}{3}\)

Multiply both sides by 3 to put in standard form.

\(3y=-4x+32\)

Put in \(Ax + By = C\) form

\(4x+3y=32\)

\(m = \frac{16-8}{-4-2}=\frac{8}{-6}=\frac{-4}{3}\)

Write the equation in point-slope form, simplify, then rewrite in standard form.

\(y-8=\frac{-4}{3}(x-2)\)

Simplify

\(y-8=\frac{-4}{3x}+\frac{8}{3}\)

Simplify

\(y=\frac{-4}{3x}+\frac{32}{3}\)

Multiply both sides by 3 to put in standard form.

\(3y=-4x+32\)

Put in \(Ax + By = C\) form

\(4x+3y=32\)