4. Consider Line L with defining equation 2 y - ²x + 1/ . = 6 A. Find two ordered pairs (x₁, y₁) and (x2, y₂) that lie on the graph of line L. Check your results with a partner: if you have results different from your partner, does that mean that your or their results are inaccurate? Discuss why or why not? B. Use your two points from part A to find two different equations for line L in point-slope form. C. Do both of your point-slope equations from part B rearrange to have the same slope- intercept form? Why or why not? Can you provide reasoning to support your answer without having to perform the precise algebraic manipulations to verify explicitly?
4. Consider Line L with defining equation 2 y - ²x + 1/ . = 6 A. Find two ordered pairs (x₁, y₁) and (x2, y₂) that lie on the graph of line L. Check your results with a partner: if you have results different from your partner, does that mean that your or their results are inaccurate? Discuss why or why not? B. Use your two points from part A to find two different equations for line L in point-slope form. C. Do both of your point-slope equations from part B rearrange to have the same slope- intercept form? Why or why not? Can you provide reasoning to support your answer without having to perform the precise algebraic manipulations to verify explicitly?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.4: Writing And Graphing Equations Of Lines
Problem 77E: Find the equation of the line perpendicular to the line y=3 and passing through the midpoint of the...
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Transcribed Image Text:4. Consider Line L with defining equation
2
y − 3²/37x + ²1/12.
=
A. Find two ordered pairs (x₁, y₁) and (x2, Y2)
that lie on the graph of line L. Check your
results with a partner: if you have results
different from your partner, does that mean
that your or their results are inaccurate?
Discuss why or why not?
B. Use your two points from part A to find two
different equations for line in point-slope
form.
C. Do both of your point-slope equations from
part B rearrange to have the same slope-
intercept form? Why or why not? Can you
provide reasoning to support your answer
without having to perform the precise
algebraic manipulations to verify explicitly?
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