
To find:
The equation for the dilated image of the line.

Answer to Problem 37HP
The equation of the dilated image of the line
y=4x−2 Is y=4x−3
Explanation of Solution
Given:
The line
y=4x−2
Concept used:
Product means the answer to a multiplication problem
Sum means the total amount resulting from the addition of two or more numbers amounts or items
Quotientmeansa result obtained by dividing one quantity by another
Calculation:
The line is
y=4x−2
The dilation is centered at the origin with a scale factor of =1.5
The x− intercept is 0.5
The y− intercept is −2
The distance between the vertices at (0,0) and (0.5,0) is 0.5 and from the vertices at (0,0) and (0,−2) is 2
The x− intercept of the dilated image are (0.5)(0.5) or 0.75
The y− intercept of the dilated image are (1.5)(2) or 3 units down from the origin
Therefore,
The equation of the dilated image of the line
y=4x−2 Is y=4x−3
Chapter 9 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
Algebra and Trigonometry (6th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Calculus: Early Transcendentals (2nd Edition)
Thinking Mathematically (6th Edition)
Elementary Statistics: Picturing the World (7th Edition)
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