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

Dec 7, 2016

10

Dec 7, 2016

$c = 10$

#### Explanation:

Given: $3 x + 5 y = c$

subtract $3 x$ from both sides

$5 y = - 3 x + c$

Divide both sides by 5#

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

Comparing directly through $y$

$\textcolor{b l u e}{- \frac{3}{5} x + \frac{c}{5}} \textcolor{red}{= y =} \textcolor{g r e e n}{- \frac{3}{5} x + 2 \text{ " larr" Given in question}}$

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

Multiply both sides by 5

$c = 10$