Find the equation of the line which lies midway between the lines 2x+3y+7=0 and 2x+3y+5=0

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$$\begin{gathered} \mathrm{We} \mathrm{know} \mathrm{that} \\ \mathrm{Equation} \mathrm{of} \mathrm{line} \mathrm{mid} \mathrm{way} \mathrm{between} \mathrm{two} \mathrm{parallel} \mathrm{line} \\ \mathrm{ax}+\mathrm{by}+{\mathrm{c}}_1=0 \\ \mathrm{ax}+\mathrm{by}+{\mathrm{c}}_2=0 \\ \mathrm{is} \\ \mathrm{ax}+\mathrm{by}+\frac{{\mathrm{c}}_1+{\mathrm{c}}_2}{2}=0 \\ \mathrm{For} 2\mathrm{x}+3\mathrm{y}+7=0 \mathrm{and} 2\mathrm{x}+3\mathrm{y}+5=0 \\ \mathrm{a}=2 \mathrm{and} \mathrm{b}=3 \mathrm{and} {\mathrm{c}}_1=7 \mathrm{and} {\mathrm{c}}_2=5 \\ \mathrm{Hence} \mathrm{line} \mathrm{will} \mathrm{be} \\ 2\mathrm{x}+3\mathrm{y}+\frac{7+5}{2}=0 \\ \Rightarrow 2\mathrm{x}+3\mathrm{y}+6=0 \left[\mathrm{Answer}\right] \end{gathered}$$

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