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# 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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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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