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 =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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
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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