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)

Question
Equations
asked 2021-02-11
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)

Answers (1)

2021-02-12
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
\(4x+3y=32\)
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