For the lines 2x + 5y = 7 and 2x - 5y = 9,whi | vedclass

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(C) Given lines are $L_1: 2x + 5y = 7$ and $L_2: 2x - 5y = 9$.Comparing with the slope-intercept form $y = mx + c$,we get:For $L_1$: $5y = -2x + 7 \im

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Lines are intersecting

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(C) Given lines are $L_1: 2x + 5y = 7$ and $L_2: 2x - 5y = 9$.Comparing with the slope-intercept form $y = mx + c$,we get:For $L_1$: $5y = -2x + 7 \implies y = -\frac{2}{5}x + \frac{7}{5}$,so slope $m_1 = -\frac{2}{5}$.For $L_2$: $-5y = -2x + 9 \implies y = \frac{2}{5}x - \frac{9}{5}$,so slope $m_2 = \frac{2}{5}$.Since $m_1 
eq m_2$,the lines are not parallel.Since $m_1 	imes m_2 = (-\frac{2}{5}) 	imes (\frac{2}{5}) = -\frac{4}{25} 
eq -1$,the lines are not perpendicular.Since the slopes are different,the lines must intersect at a unique point.Therefore,the lines are intersecting.

For the lines $2x + 5y = 7$ and $2x - 5y = 9$,which of the following statements is true?

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