Given the equation of a line is $y = - \frac{3}{5} x + 2$ $y=-3/5x+2$ , when you rewrite the equation in standard form 3x+5y=C, what is the value of C?

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Given the equation of a line is $y = - \frac{3}{5} x + 2$ $y=-3/5x+2$ , when you rewrite the equation in standard form 3x+5y=C, what is the value of C?

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Answer 1 · 2016-12-07T20:37:36

Douglas K.

Dec 7, 2016

10

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Answer 2 · 2016-12-07T20:57:25

$c = 10$ $c=10$

Explanation:

Given: $3 x + 5 y = c$ $3x+5y=c$

subtract $3 x$ $3x$ from both sides

$5 y = - 3 x + c$ $5y=-3x+c$

Divide both sides by 5#

$y = - \frac{3}{5} x + \frac{c}{5}$ $y=-3/5x+c/5$

Comparing directly through $y$ $y$

$- \frac{3}{5} x + \frac{c}{5} = y = - \frac{3}{5} x + 2 \leftarrow Given in question$ $color(blue)(-3/5x+c/5)color(red)(=y=)color(green)(-3/5x+2" " larr" Given in question")$

$\frac{c}{5} = 2$ $c/5=2$

Multiply both sides by 5

$c = 10$ $c=10$

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Given the equation of a line is $y = - \frac{3}{5} x + 2$ $y=-3/5x+2$ , when you rewrite the equation in standard form 3x+5y=C, what is the value of C?

2 Answers

Explanation:

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Given the equation of a line is $y = - \frac{3}{5} x + 2$ $y=-3/5x+2$ , when you rewrite the equation in standard form 3x+5y=C, what is the value of C?