3.4E: Exercises
- Page ID
- 110473
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In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope–intercept form.
- Slope \(\frac{1}{3}\) and \(y\)-intercept \((0,−6)\)
- Slope \(−5\) and \(y\)-intercept \((0,−3)\)
- Slope \(0\) and \(y\)-intercept \((0,4)\)
- Slope \(−2\) and \(y\)-intercept \((0,0)\)
- Answer
-
- \(y=\frac{1}{3}-6\)
- \(y=-5x-3\)
- \(y=4\)
- \(y=-2x\)
In the following exercises, find the equation of the line shown in each graph. Write the equation in slope–intercept form.
- Answer
-
- \(y=2x+1\)
- \(y=-3x+5\)
- \(y=\frac{3}{4}x-2\)
- \(y=-4\)
In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope–intercept form.
- \(m=−\frac{1}{4}\), point \((−8,3)\)
- \(m=\frac{3}{5}\), point \((10,6)\)
- Horizontal line containing \((−2,7)\)
- \(m=−2\), point \((−1,−3)\)
- Answer
-
- \(y=-\frac{1}{4}x+1\)
- \(y=\frac{3}{5}x\)
- \(y=7\)
- \(y=-2x-5\)
In the following exercises, find the equation of a line containing the given points. Write the equation in slope–intercept form.
- \((2,10)\) and \((−2,−2)\)
- \((7,1)\) and \((5,0)\)
- \((3,8)\) and \((3,−4)\)
- \((5,2)\) and \((−1,2)\)
- Answer
-
- \(y=3x+4\)
- \(y=\frac{1}{2}x-\frac{5}{2}\)
- \(x=3\)
- \(y=2\)