Question

Find equation of line passing through(3,2) & its x-intercept is double of y intercept​

Answer 1

$\textbf{Given:}$

$\text{x intercept = 2 {\times} intercept and }$

$\text{the line passes through (3,2)}$

$\textbf{To find:}$

$\text{Equation of the line}$

$\textbf{Solution:}$

$\text{The equation of line in intercept form is}$

$\bf\dfrac{x}{a}+\dfrac{y}{b}=1$

$\text{But}\;a=2\,b$

$\implies\dfrac{x}{2b}+\dfrac{y}{b}=1$

$\implies\,x+2y=2b$

$\text{It passes through (3,2)}$

$3+2(2)=2b$

$2b=7$

$\implies\,b=\dfrac{7}{2}$

$\textbf{Answer:}$

$\textbf{The required line is x+2y=7}$

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Answer 2

Step-by-step explanation:

please refer to the picture attached