# Write an equation in standard form Ax=By=C of the line that satisfies the given conditions. Use integer values for A, B, and C. passes through (2, 8) and (-4, 16)

Write an equation in standard form $Ax=By=C$ of the line that satisfies the given conditions. Use integer values for A, B, and C. passes through (2, 8) and (-4, 16)
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Tuthornt
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.
$y-8=\frac{-4}{3}\left(x-2\right)$
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
$4x+3y=32$