Elementary Technical Mathematics
Elementary Technical Mathematics
12th Edition
ISBN: 9781337630580
Author: Dale Ewen
Publisher: Cengage Learning
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Concept explainers

Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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Chapter 8, Problem 42R

Find the equation of the line through the given points:

( 12 , 0 ) , ( 2 , − 5 )

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Chapter 8 Solutions

Elementary Technical Mathematics

Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Prob. 4ECh. 8.1 - Prob. 5ECh. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Prob. 7ECh. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - Prob. 10E
Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Prob. 12ECh. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Prob. 20ECh. 8.1 - Prob. 21ECh. 8.1 - Prob. 22ECh. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Solve for y in terms of x: 4x+5y=10Ch. 8.1 - Prob. 27ECh. 8.1 - Solve for y in terms of x: 2x+2y=5Ch. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - Prob. 31ECh. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.1 - Prob. 34ECh. 8.1 - Prob. 35ECh. 8.1 - Prob. 36ECh. 8.1 - Prob. 37ECh. 8.1 - Write the ordered pair corresponding to each point...Ch. 8.1 - Prob. 39ECh. 8.1 - Prob. 40ECh. 8.1 - Prob. 41ECh. 8.1 - Prob. 42ECh. 8.1 - Prob. 43ECh. 8.1 - Prob. 44ECh. 8.1 - Prob. 45ECh. 8.1 - Write the ordered pair corresponding to each point...Ch. 8.1 - Prob. 47ECh. 8.1 - Prob. 48ECh. 8.1 - Prob. 49ECh. 8.1 - Prob. 50ECh. 8.1 - Prob. 51ECh. 8.1 - Prob. 52ECh. 8.1 - Prob. 53ECh. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Prob. 63ECh. 8.1 - Prob. 64ECh. 8.1 - Prob. 65ECh. 8.1 - Prob. 66ECh. 8.2 - Draw the graph of each equation: x+y=7Ch. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - Prob. 7ECh. 8.2 - Draw the graph of each equation: 2x+3y=9Ch. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Draw the graph of each equation: 5x+4y=20Ch. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Draw the graph of each equation: 3x+5y=11Ch. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - Draw the graph of each equation: y=3Ch. 8.2 - Prob. 22ECh. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Identify the independent and dependent variables...Ch. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Identify the independent and dependent variables...Ch. 8.2 - Prob. 41ECh. 8.2 - The voltage, v (in mV), in an electrical circuit...Ch. 8.2 - The resistance, R, in an electrical circuit varies...Ch. 8.2 - Prob. 44ECh. 8.2 - The voltage, v, in an electrical circuit is given...Ch. 8.2 - Prob. 46ECh. 8.3 - Find the slope of the passing through each pair of...Ch. 8.3 - Prob. 2ECh. 8.3 - Prob. 3ECh. 8.3 - Prob. 4ECh. 8.3 - Prob. 5ECh. 8.3 - Find the slope of the passing through each pair of...Ch. 8.3 - Prob. 7ECh. 8.3 - Prob. 8ECh. 8.3 - Prob. 9ECh. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - Prob. 12ECh. 8.3 - Find the slope of each line:Ch. 8.3 - Prob. 14ECh. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - Find the slope of each line:Ch. 8.3 - Find the slope of each line:Ch. 8.3 - Find the slope of each line: y=6x+2Ch. 8.3 - Prob. 20ECh. 8.3 - Find the slope of each line: y=5x7Ch. 8.3 - Prob. 22ECh. 8.3 - Prob. 23ECh. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - Prob. 27ECh. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Determine whether the lines given by the equations...Ch. 8.3 - Determine whether the lines given by the equations...Ch. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - Determine whether the lines given by the equations...Ch. 8.3 - Determine whether the lines given by the equations...Ch. 8.3 - Determine whether the lines given by the equations...Ch. 8.3 - Determine whether the lines given by the equations...Ch. 8.4 - Draw the graph of each line with the given slope...Ch. 8.4 - Draw the graph of each line with the given slope...Ch. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - Prob. 7ECh. 8.4 - Prob. 8ECh. 8.4 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Prob. 11ECh. 8.4 - Prob. 12ECh. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - Prob. 15ECh. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Draw the graph of each equation using the slope...Ch. 8.4 - Prob. 19ECh. 8.4 - Draw the graph of each equation using the slope...Ch. 8.4 - Prob. 21ECh. 8.4 - Prob. 22ECh. 8.4 - Prob. 23ECh. 8.4 - Prob. 24ECh. 8.4 - Prob. 25ECh. 8.4 - Find the equation of the line with given slope and...Ch. 8.4 - Prob. 27ECh. 8.4 - Find the equation of the line with given slope and...Ch. 8.4 - Prob. 29ECh. 8.4 - Prob. 30ECh. 8.4 - Prob. 31ECh. 8.4 - Prob. 32ECh. 8.4 - Prob. 33ECh. 8.4 - Prob. 34ECh. 8.4 - Prob. 35ECh. 8.4 - Prob. 36ECh. 8.4 - Prob. 37ECh. 8.4 - Draw the graph of the line through the given point...Ch. 8.4 - Draw the graph of the line through the given point...Ch. 8.4 - Prob. 40ECh. 8.4 - Prob. 41ECh. 8.4 - Prob. 42ECh. 8.4 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - Find the equation of the line through the given...Ch. 8.4 - Find the equation of the line through the given...Ch. 8.4 - Prob. 47ECh. 8.4 - Prob. 48ECh. 8.4 - Prob. 49ECh. 8.4 - Prob. 50ECh. 8.4 - Prob. 51ECh. 8.4 - Prob. 52ECh. 8.4 - Prob. 53ECh. 8.4 - Prob. 54ECh. 8.4 - Prob. 55ECh. 8.4 - Prob. 56ECh. 8.4 - Prob. 57ECh. 8.4 - Find the equation of the line through the given...Ch. 8.4 - Find the equation of the line through the given...Ch. 8.4 - Prob. 60ECh. 8 - Prob. 1RCh. 8 - Complete the ordered-pair solution of each...Ch. 8 - Solve for y: 6x+y=15.Ch. 8 - Solve For y:3x5y=10.Ch. 8 - Write the ordered pair corresponding to each point...Ch. 8 - Write the ordered pair corresponding to each point...Ch. 8 - Write the ordered pair corresponding to each point...Ch. 8 - Write the ordered pair corresponding to each point...Ch. 8 - Plot each point in the number plane. Label each...Ch. 8 - Prob. 10RCh. 8 - Prob. 11RCh. 8 - Prob. 12RCh. 8 - Draw the graph of each equation: x+y=8Ch. 8 - Prob. 14RCh. 8 - Draw the graph of each equation: 3x+6y=12Ch. 8 - Draw the graph of each equation: 4x5y=15Ch. 8 - Prob. 17RCh. 8 - Prob. 18RCh. 8 - Draw the graph of each equation: x=6Ch. 8 - Draw the graph of each equation: y=7Ch. 8 - Find the slope of the line passing through each...Ch. 8 - Find the slope of the line passing through each...Ch. 8 - Prob. 23RCh. 8 - Prob. 24RCh. 8 - Prob. 25RCh. 8 - Prob. 26RCh. 8 - Prob. 27RCh. 8 - Prob. 28RCh. 8 - Prob. 29RCh. 8 - Prob. 30RCh. 8 - Prob. 31RCh. 8 - Prob. 32RCh. 8 - Prob. 33RCh. 8 - Prob. 34RCh. 8 - Prob. 35RCh. 8 - Prob. 36RCh. 8 - Prob. 37RCh. 8 - Prob. 38RCh. 8 - Find the equation of the line through the given...Ch. 8 - Find the equation of the line through the given...Ch. 8 - Prob. 41RCh. 8 - Find the equation of the line through the given...Ch. 8 - Given the equation 3x4y=24, complete each ordered...Ch. 8 - Given the equation 3x4y=24, complete each ordered...Ch. 8 - Prob. 3TCh. 8 - Prob. 4TCh. 8 - Write the ordered pair corresponding to each point...Ch. 8 - Prob. 6TCh. 8 - Prob. 7TCh. 8 - Prob. 8TCh. 8 - Prob. 9TCh. 8 - Prob. 10TCh. 8 - Find the slope of each line: y=3x2Ch. 8 - Prob. 12TCh. 8 - Prob. 13TCh. 8 - Prob. 14TCh. 8 - Prob. 15TCh. 8 - Prob. 16TCh. 8 - Prob. 17TCh. 8 - Draw the graph of the line y=12x+4, using its...Ch. 8 - Prob. 1CRCh. 8 - Prob. 2CRCh. 8 - Prob. 3CRCh. 8 - Prob. 4CRCh. 8 - Prob. 5CRCh. 8 - Prob. 6CRCh. 8 - Prob. 7CRCh. 8 - Read the measurement shown on the metric...Ch. 8 - Prob. 9CRCh. 8 - Prob. 10CRCh. 8 - Prob. 11CRCh. 8 - Prob. 12CRCh. 8 - Prob. 13CRCh. 8 - Solve: 2x3+15=x423Ch. 8 - Prob. 15CRCh. 8 - Prob. 16CRCh. 8 - Prob. 17CRCh. 8 - Prob. 18CRCh. 8 - Prob. 19CRCh. 8 - Prob. 20CRCh. 8 - Prob. 21CRCh. 8 - Prob. 22CRCh. 8 - Prob. 23CRCh. 8 - Prob. 24CRCh. 8 - Prob. 25CRCh. 8 - Prob. 26CRCh. 8 - Prob. 27CRCh. 8 - Prob. 28CRCh. 8 - Prob. 29CRCh. 8 - Determine whether the graphs of 2x3y=6 and 3x+5y=7...
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