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