Math, asked by gowrigowri513, 6 months ago

find the equation of the line which makes intercepts -3 &2 on the co-ordinate axes respectively​

Answers

Answered by AssasianCreed
8

Question :-

  • Find the equation of the line which makes intercepts -3 &2 on the coordinate axes respectively

Answer :-

\large \implies  \bf2x - 3y  + 6 = 0

Solution :-

Intercept form :-

</u><u>\</u><u>large</u><u> \implies \bf \dfrac{x}{a}  +  \dfrac{y}{b}  = 1

Where ,

  • x is a intercept of a

  • y is a intercept of b

Now :-

 \large\implies \bf \dfrac{x}{ - 3}  +  \dfrac{y}{2}  = 1

 \\  \\  \large\implies \bf \frac{ - 2x + 3y}{6}  = 1

 \\  \\  \large\implies \bf - 2x + 3y = 6

 \\  \\ \large \implies \bf 2x - 3y + 6 = 0

 \therefore So, this is the required eqation.

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