Points M(2, 3) and N(x, -6) lie on the same line. The line also passes through the origin. A. For a line passing through the origin, what do you notice about measuring rise over run from the origin to another point on the line? М(2, 3) B. Find the rise over run from the origin to Point M. 888 N(x, -6) rise run C. The rise-over-run ratio, or slope, of any line is constant. Use this ratio to write an equation that can help you find the x-coordinate of Point N. 0- x -0 D. Use proportional reasoning to solve for x. X =
Points M(2, 3) and N(x, -6) lie on the same line. The line also passes through the origin. A. For a line passing through the origin, what do you notice about measuring rise over run from the origin to another point on the line? М(2, 3) B. Find the rise over run from the origin to Point M. 888 N(x, -6) rise run C. The rise-over-run ratio, or slope, of any line is constant. Use this ratio to write an equation that can help you find the x-coordinate of Point N. 0- x -0 D. Use proportional reasoning to solve for x. X =
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
Related questions
Question
![Points M(2, 3) and N(x, -6) lie on the same line. The
line also passes through the origin.
3
A. For a line passing through the origin, what do you
notice about measuring rise over run from the origin
to another point on the line?
/М(2, 3)
B. Find the rise over run from the origin to Point M.
088
N(x, -6)
rise
run
C. The rise-over-run ratio, or slope, of any line is constant. Use this
ratio to write an equation that can help you find the x-coordinate of
Point N.
- 0
D. Use proportional reasoning to solve for x.
X =
Turn and Talk Explain, using the rise and the run, why the slope of a
horizontal line is 0.
Check Understanding
1. Explain how dilation scale factors can help you identify points on a line
passing through the origin given one additional point.
nr yd
ibicos
2. A line passes through the origin and (5, 3). Identify two additional points
on this line.
140](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4d6c94d-3c11-4bcb-a066-04f049a11dab%2Faa23badb-b84e-48de-8530-28a5cc45c65c%2Fluk95u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Points M(2, 3) and N(x, -6) lie on the same line. The
line also passes through the origin.
3
A. For a line passing through the origin, what do you
notice about measuring rise over run from the origin
to another point on the line?
/М(2, 3)
B. Find the rise over run from the origin to Point M.
088
N(x, -6)
rise
run
C. The rise-over-run ratio, or slope, of any line is constant. Use this
ratio to write an equation that can help you find the x-coordinate of
Point N.
- 0
D. Use proportional reasoning to solve for x.
X =
Turn and Talk Explain, using the rise and the run, why the slope of a
horizontal line is 0.
Check Understanding
1. Explain how dilation scale factors can help you identify points on a line
passing through the origin given one additional point.
nr yd
ibicos
2. A line passes through the origin and (5, 3). Identify two additional points
on this line.
140
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