Homework Help is Here – Start Your Trial Now!
Math
Geometry
y 3 2 1 + + + -4 -3 -2 -1 3 -1 -2 What is the slope for a line PERPENDICULAR to the line shown in the graph? 4,

y 3 2 1 + + + -4 -3 -2 -1 3 -1 -2 What is the slope for a line PERPENDICULAR to the line shown in the graph? 4,

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
See similar textbooks
icon
Related questions
Question
The image shows a graph with a line passing through three points, labeled with coordinates approximately at (-1, -2), (1, 1), and (3, 4). The x-axis ranges from -5 to 5, and the y-axis ranges from -3 to 5. The line is drawn in black and passes through the mentioned points. Below the graph, the question asks: "What is the slope for a line PERPENDICULAR to the line shown in the graph?" The options given are: A) -3 B) \(-\frac{1}{3}\) C) 3 D) \(\frac{1}{3}\) To solve this, recall that the slope of a line perpendicular to another is the negative reciprocal of the original slope. Calculate the original slope by taking two points on the given line, such as (1, 1) and (3, 4), and use the formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\). The line's calculated slope: \(m = \frac{4 - 1}{3 - 1} = \frac{3}{2}\). The perpendicular slope is \(-\frac{2}{3}\) (not listed in the options, so there may have been a mistake in setup).
Transcribed Image Text:The image shows a graph with a line passing through three points, labeled with coordinates approximately at (-1, -2), (1, 1), and (3, 4). The x-axis ranges from -5 to 5, and the y-axis ranges from -3 to 5. The line is drawn in black and passes through the mentioned points. Below the graph, the question asks: "What is the slope for a line PERPENDICULAR to the line shown in the graph?" The options given are: A) -3 B) \(-\frac{1}{3}\) C) 3 D) \(\frac{1}{3}\) To solve this, recall that the slope of a line perpendicular to another is the negative reciprocal of the original slope. Calculate the original slope by taking two points on the given line, such as (1, 1) and (3, 4), and use the formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\). The line's calculated slope: \(m = \frac{4 - 1}{3 - 1} = \frac{3}{2}\). The perpendicular slope is \(-\frac{2}{3}\) (not listed in the options, so there may have been a mistake in setup).
Expert Solution
Step 1

Geometry homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS