Plot the points (3, –1), (3, 2), and (3, 4)

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 22CT
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5-11. The equation of a line describes the relationship between the x- & y-coordinates of the points on the line.
a.) Plot the points (3, -1), (3, 2), and (3, 4) and draw the line that passes through them. State the coordinates of
two more points on the line. Then answer this question: What will be true of the coordinates of any other
point on this line? Now write an equation that says exactly the same thing. (Do not worry if it is very
simple! If it accurately describes all the points on this line, it is correct.)
) and (
*The coordinates of any other point on the line will...
*Equation:
b.) Plot the points (5, -1), (1, –1), and (-3, –1).
*What is the equation of the line that goes through these points?
c.) Choose any three points on the y-axis. What must be the equation of the line that goes through those points.
Transcribed Image Text:5-11. The equation of a line describes the relationship between the x- & y-coordinates of the points on the line. a.) Plot the points (3, -1), (3, 2), and (3, 4) and draw the line that passes through them. State the coordinates of two more points on the line. Then answer this question: What will be true of the coordinates of any other point on this line? Now write an equation that says exactly the same thing. (Do not worry if it is very simple! If it accurately describes all the points on this line, it is correct.) ) and ( *The coordinates of any other point on the line will... *Equation: b.) Plot the points (5, -1), (1, –1), and (-3, –1). *What is the equation of the line that goes through these points? c.) Choose any three points on the y-axis. What must be the equation of the line that goes through those points.
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