Explanation Procedure used: “To graph a linear equation by using the slope-intercepts method: 1. Locate the y -intercept on the y -axis. 2. Using the slope in fractional form, determine the amount of vertical and horizontal movement indicated. 3. From the y -intercept, locate additional points on the graph of the equation by counting the indicated vertical and horizontal movements of the slope. 4. Draw the line connecting the points and extending beyond the points.” Calculation: Given equation is x + 2 y = 1 . Find the y intercept as follows, x + 2 y = 1 2 y = − x + 1 y = − 1 2 x + 1 2 y = − 1 2 ( 0 ) + 1 2 [ Let x = 0 ] y = 1 2 y − intercept is ( 0 , 1 2 ) Find the slope from the above equation as follows, Observe that in the equation y = b x + c , b is the slope. Here, the value of b is − 1 2 . Thus, the slope is − 1 2 . Write the slope in fractional form as two equivalent fractions by manipulating the signs of the fraction

College Mathematics for Trades and Technologies (10th Edition) (What's New in Trade Math)

10th Edition

ISBN: 9780134690339

Author: Cheryl Cleaves, Margie Hobbs

Publisher: PEARSON

See similar textbooks

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.

Videos

Question

Chapter 9, Problem 16PT

To determine

To graph: The given equation using the slope-intercepts method.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9, Problem 15PT

Chapter 9, Problem 17PT

Students have asked these similar questions

4. Researchers at Iowa State University and the University of Arkansas have developed a piecewise function that can be used to estimate the body weight (in grams) of a male broiler during the first 56 days of life according to W(t)=48+3.64t+0.6363²+0.00963 t³ if 1St≤28, -1004+65.8t if 28

3. Given the function h(x)=(x²+x-12 if x≤1 3-x if x>1' a) Graph the function h(x). Make the graph big enough to be easily read using the space below. Be sure to label all important aspects of the graph. b) Find all values of x where the function is discontinuous. c) Find the limit from the left and from the right at any values of x found in part b.

2. Find the instantaneous rate of change for each function f(x)=2x²-x+3 at x=0..

Chapter 9 Solutions

College Mathematics for Trades and Technologies (10th Edition) (What's New in Trade Math)

Ch. 9.1 - Find y if x = 4 in the equation 3x + 2y = 6. Ch. 9.1 - Locate the points in Fig. 9–12 by giving the...Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.