Conversion of linear equations from parametric to general and slope-intercept forms.

A table displaying eight sets of linear equations in parametric, general, and slope-intercept forms, labeled a) through h), showing conversions between different representations of lines.

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Show Answer Key & Explanations Step-by-step solution for: Answers to Math Exercises & Math Problems: Analytic Geometry of ...

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a) param: x = -4 + 5t; y = -2 + 5t
general: x - y + 2 = 0
slope-int: y = x + 2

b) param: x = 5t; y = 4 - 2t
general: 2x + 5y - 20 = 0
slope-int: y = -2/5x + 4

c) param: x = -7 + 4t; y = 3 + 3t
general: 3x - 4y + 33 = 0
slope-int: y = 3/4x + 33/4

d) param: x = 10 - 6t; y = -4 + 7t
general: 7x + 6y - 46 = 0
slope-int: y = -7/6x + 23/3

e) param: x = 2 + 2t; y = 4 + 5t
general: 5x - 2y - 2 = 0
slope-int: y = 5/2x - 1

f) param: x = -2t; y = -4 + 4t
general: 2x + y + 4 = 0
slope-int: y = -2x - 4

g) param: x = -4.5 + 3.3t; y = 1.8
general: y - 1.8 = 0
slope-int: y = 1.8

h) param: x = -√3 + (1 + √3)t; y = -2 + 1.25t
general: 5x - 4(1 + √3)y - 3√3 - 8 = 0
slope-int: y = [5(√3 - 1)/8]x - (1 + 5√3)/8

Parent Tip: Review the logic above to help your child master the concept of analytical geometry worksheet.

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