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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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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Question
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Chapter 3.4, Problem 36PPS
To determine

Write an equation of line in slope intercept by its graph.

Expert Solution & Answer
Check Mark

Answer to Problem 36PPS

Therefore, the equation of line is y=14x−4

Explanation of Solution

Given information:

Graph of linear equation:

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.4, Problem 36PPS

Solution:

In order to find equation of line, we need to get two points.

From the graph, we can see that line crosses at y-axis at -4 units downward from the origin. Therefore, the y-intercept is -4.

Now, if we go 2 units upward and 8 units right, we get another coordinate (8,-2).

So the slope will be,

  RiseRun=−2−(−4)8−0=28=14

Therefore, slope of line is 14 .

Now, put the value of slope m= 14 and y-intercept b=-4 in slope intercept form.

Slope- intercepts form:

  y=mx+b , where m is slope and b is y-intercept.

  y=14x−4

Therefore the equation is y=14x−4 .

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Chapter 3.4, Problem 35PPS
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Chapter 3.4, Problem 37PPS

Chapter 3 Solutions

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)

Ch. 3.1 - Prob. 1AGPCh. 3.1 - Prob. 1BGPCh. 3.1 - Prob. 2GPCh. 3.1 - Prob. 3GPCh. 3.1 - Prob. 4AGPCh. 3.1 - Prob. 4BGPCh. 3.1 - Prob. 5AGPCh. 3.1 - Prob. 5BGPCh. 3.1 - Prob. 5CGPCh. 3.1 - Prob. 1CYU
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