Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
2nd Edition
ISBN: 9780076602919
Author: McGraw-Hill Education
Publisher: McGraw-Hill Education
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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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Question
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Chapter 3, Problem 33SGR
To determine

Write an equation of line in slope-intercept form and graph the equation.

Expert Solution & Answer
Check Mark

Answer to Problem 33SGR

The, equation of line is y=−2x−9.

Graph of this line:

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3, Problem 33SGR , additional homework tip 1

Explanation of Solution

Given information:

Slope of line (m)=−2

y-intercept of line (b)=−9

Formula used: Slope- intercepts form

  y=mx+b, 

where m is the slope and b is y-intercept

Solution:

Plug the value of slope (m) =-2 and y-intercept(b)=-9 of line in slope-intercept form y=mx+b, 

We get,

  y=−2x−9.

Therefore, the equation of line is y=−2x−9.

Graphing the equation:

Plot the y-intercepts first (0, -9)

Plot one more point by using = RiseRun=−21

Another point will be (0−1,−9−(−2))=(−1,−7)

Draw a line by joining the points (0,-9) and (1,7).

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3, Problem 33SGR , additional homework tip 2

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Chapter 3 Solutions

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)

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ISBN:9780134463216
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Publisher:PEARSON
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Publisher:Cengage Learning
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Author:David Poole
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