Line 1 is defined by slope m = 1/2 and y-intercept c = −3. Line 2 passes through the points (−2, 4) and (3, 5). (a) Find the equations of these two lines. (b) Find the point of intersection of these two lines. Show all working and give the exact answer. (c) Are the lines perpendicular, parallel or neither? Give reasons.

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
icon
Related questions
icon
Concept explainers
Question

Line 1 is defined by slope m = 1/2 and y-intercept c = −3. Line 2 passes

through the points (−2, 4) and (3, 5).
(a) Find the equations of these two lines.

(b) Find the point of intersection of these two lines. Show all working and give the exact answer.

(c) Are the lines perpendicular, parallel or neither? Give reasons.

Expert Solution
steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Knowledge Booster
Points, Lines and Planes
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
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