3.5E: Exercises
- Page ID
- 110474
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Practice Makes Perfect
In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope–intercept form.
- line \(y=−3x+6\), point \((1,−5)\)
- line \(2x+5y=−10\), point \((10,4)\)
- line \(x=4\), point \((−2,−1)\)
- line \(y=−5\), point \((−4,3)\)
- Answer
-
- \(y=-3x-2\)
- \(y=-\frac{2}{5}x+8\)
- \(x=-2\)
- \(y=3\)
In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope–intercept form.
- line \(y=−\frac{4}{5}x+2\), point \((8,9)\)
- line \(2x−3y=9\), point \((−4,0)\)
- line \(y=3\), point \((−1,−3)\)
- line \(x=−5\) point \((2,1)\)
- Answer
-
- \(y=\frac{5}{4}x-1\)
- \(y=-\frac{3}{2}x-6\)
- \(x=-1\)
- \(y=1\)