Chapter 5

Understanding Elementary Algebra with Geometry · 219 exercises

Problem 1

Write an equation of the line satisfying the given conditions. Passing through \((1,5)\) with slope 3

5 step solution

Problem 1

Find the slope of the line passing through the given points. Round to the nearest hundredth where necessary. \((3,5)\) and \((6,9)\)

4 step solution

Problem 1

Complete each ordered pair so that it satisfies the given equation. $$3 x-7 y=21 ; \quad(\quad, 15), \quad(14, \quad),(-2, \quad)$$

3 step solution

Problem 2

Write an equation of the line satisfying the given conditions. Passing through \((2,7)\) with slope \(-3\)

4 step solution

Problem 2

Find the slope of the line passing through the given points. Round to the nearest hundredth where necessary. \((1,4)\) and \((7,6)\)

5 step solution

Problem 2

Complete each ordered pair so that it satisfies the given equation. $$5 y+6 x=30 ; \quad(-5, \quad),(\quad,-6),(\quad, 4)$$

6 step solution

Problem 3

Write an equation of the line satisfying the given conditions. Passing through \((-1,4)\) with slope \(\frac{1}{2}\)

5 step solution

Problem 3

Find the slope of the line passing through the given points. Round to the nearest hundredth where necessary. \((2,6)\) and \((1,3)\)

5 step solution

Problem 4

Write an equation of the line satisfying the given conditions. Passing through \((5,-3)\) with slope \(\frac{3}{4}\)

6 step solution

Problem 4

Find the slope of the line passing through the given points. Round to the nearest hundredth where necessary. \((5,1)\) and \((1,9)\)

5 step solution

Problem 4

Complete each ordered pair so that it satisfies the given equation. $$4 x+7 y=56 ; \quad(\quad, 2), \quad(\quad, 0), \quad(0, \quad)$$

6 step solution

Problem 5

Write an equation of the line satisfying the given conditions. Passing through \((-3,-5)\) with slope \(-\frac{2}{3}\)

4 step solution

Problem 5

Find the slope of the line passing through the given points. Round to the nearest hundredth where necessary. (-1,4) \text { and }(3,-2)

7 step solution

Problem 5

Complete each ordered pair so that it satisfies the given equation. $$3 x-5 y=10 ; \quad\left(-\frac{2}{3}, \quad\right),\left(\quad,-\frac{4}{5}\right), \quad(5, \quad)$$

4 step solution

Problem 6

Write an equation of the line satisfying the given conditions. Passing through \((-1,-4)\) with slope \(-\frac{4}{5}\)

3 step solution

Problem 6

Find the slope of the line passing through the given points. Round to the nearest hundredth where necessary. \((2,-5)\) and \((-4,3)\)

6 step solution

Problem 6

Complete each ordered pair so that it satisfies the given equation. $$7 x+9 y=20 ; \quad\left(\quad, \frac{1}{3}\right),\left(\frac{2}{7}, \quad\right),(\quad, 4)$$

3 step solution

Problem 7

Write an equation of the line satisfying the given conditions. Passing through \((0,6)\) with slope 5

5 step solution

Problem 7

Find the slope of the line passing through the given points. Round to the nearest hundredth where necessary. (-1,-2) \text { and }(-3,-4)

5 step solution

Problem 7

Complete each ordered pair so that it satisfies the given equation. $$y=-\frac{1}{2} x+5 ; \quad(-6, \quad),(\quad, 4), \quad(3, \quad)$$

6 step solution

Problem 8

Write an equation of the line satisfying the given conditions. Passing through \((0,2)\) with slope 4

3 step solution

Problem 8

Find the slope of the line passing through the given points. Round to the nearest hundredth where necessary. (-4,-3) \text { and }(-2,-5)

6 step solution

Problem 8

Complete each ordered pair so that it satisfies the given equation. $$y=\frac{2}{3} x-1 ; \quad(\quad, 7), \quad(-6, \quad), \quad(\quad, 5)$$

3 step solution

Problem 9

Write an equation of the line satisfying the given conditions. Passing through \((0,-2)\) with slope \(\frac{1}{4}\)

4 step solution

Problem 9

Find the slope of the line passing through the given points. Round to the nearest hundredth where necessary. (0,2) \text { and }(3,0)

5 step solution

Problem 9

Find the \(x\) - and \(y\) -intercepts of the equation. $$x-y=7$$

4 step solution

Problem 10

Write an equation of the line satisfying the given conditions. Passing through \((-4,0)\) with slope \(\frac{1}{5}\)

3 step solution

Problem 10

Find the slope of the line passing through the given points. Round to the nearest hundredth where necessary. \((2,0) \text { and }(0,3)\)

5 step solution

Problem 10

Find the \(x\) - and \(y\) -intercepts of the equation. $$x+y=9$$

3 step solution

Problem 11

Write an equation of the line satisfying the given conditions. Passing through \((-2,0)\) with slope \(-\frac{3}{4}\)

3 step solution

Problem 11

Find the slope of the line passing through the given points. Round to the nearest hundredth where necessary. \((4,7)\) and \((-3,7)\)

4 step solution

Problem 11

Find the \(x\) - and \(y\) -intercepts of the equation. $$y-x=-4$$

3 step solution

Problem 12

Write an equation of the line satisfying the given conditions. Passing through \((0,-4)\) with slope \(-\frac{2}{7}\)

5 step solution

Problem 12

Find the slope of the line passing through the given points. Round to the nearest hundredth where necessary. \((-1,5)\) and \((3,5)\)

4 step solution

Problem 12

Find the \(x\) - and \(y\) -intercepts of the equation. $$y+3 x=-6$$

2 step solution

Problem 13

Write an equation of the line satisfying the given conditions. Passing through \((4,-2)\) with slope 1

5 step solution

Problem 13

Find the \(x\) - and \(y\) -intercepts of the equation. $$2 x+3 y=12$$

3 step solution

Problem 14

Write an equation of the line satisfying the given conditions. Passing through \((-3,2)\) with slope \(-1\)

4 step solution

Problem 14

Find the slope of the line passing through the given points. Round to the nearest hundredth where necessary. \((3,-1)\) and \((3,2)\)

5 step solution

Problem 14

Find the \(x\) - and \(y\) -intercepts of the equation. $$3 x+2 y=12$$

6 step solution

Problem 15

Write an equation of the line satisfying the given conditions. Passing through \((5,6)\) with slope 0

4 step solution

Problem 15

Find the slope of the line passing through the given points. Round to the nearest hundredth where necessary. \(\left(1, \frac{1}{2}\right)\) and \(\left(\frac{3}{4}, 2\right)\)

7 step solution

Problem 15

Find the \(x\) - and \(y\) -intercepts of the equation. $$y=4 x$$

3 step solution

Problem 16

Write an equation of the line satisfying the given conditions. Passing through \((4,7)\) whose slope is undefined

3 step solution

Problem 16

Find the slope of the line passing through the given points. Round to the nearest hundredth where necessary. \(\left(4, \frac{1}{3}\right)\) and \(\left(6, \frac{2}{3}\right)\)

5 step solution

Problem 16

Find the \(x\) - and \(y\) -intercepts of the equation. $$y=-3 x$$

2 step solution

Problem 16

In Exercises \(1-20,\) plot the given point. $$(-6,0)$$

5 step solution

Problem 17

Write an equation of the line satisfying the given conditions. Passing through \((2,3)\) and \((5,9)\)

4 step solution

Problem 17

Find the slope of the line passing through the given points. Round to the nearest hundredth where necessary. \(\left(-\frac{1}{3}, \frac{1}{5}\right)\) and \(\left(\frac{3}{2}, \frac{1}{4}\right)\)

6 step solution

Problem 17

Find the \(x\) - and \(y\) -intercepts of the equation. $$2 x=5 y$$

4 step solution

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