Question

find the sum of -x and y-interceots of the line 4x-5y =20​

Answer 1

Step-by-step explanation:

Equation of line

4x-5y =20

$4x-5y =20 \\ \\ \frac{4x}{20} - \frac{5y}{20} = 1 \\ \\ \frac{x}{5} - \frac{y}{4} = 1 \\ \\ now \: comparing \: \: with \: \: eq \: \: of \: line \\ \frac{x}{a} + \frac{y}{b} = 1 \\ \\ where \: (a) \: and \: \:( b )\: \: are \: \: inter \: secpts \\ then \\ a = 5 \: and \: \\ b = - 4 \\ \\ now \: sum \: = 5 + ( - 4) \\ = 1$