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Question

Find the equation of the line satisfying the given conditions, giving it in slope-intercept form if possible.

Through (3,2)(3,-2), parallel to 2xy=52 x-y=5

Solution

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Answered 1 year ago
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Two lines are parallel if their slope are equal. Change the given equation into slope-intercept form. y=mx+by=mx+b

2xy=5y=2x+5y1=2x1+51y=2x5\begin{aligned} 2x-y&=5\\ -y&=-2x+5\\ \dfrac{-y}{-1}&=\dfrac{-2x}{-1}+\dfrac{5}{-1}\\ y&=2x-5 \end{aligned}

The slope in the equation is 22.

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