Rotations and Reflections
Assignment
#10, Question #4:
Question:
Find parametric
equations to describe the line 3x+4y=12. Use your equations to find coordinates
for the point that is three-fifths of the way from (4, 0) to (0, 3). By
calculating some distances, verify that you have the correct
point.
Answer:
Equation:
3x+4y=12
-3x -3x
4y=12-3x
4 4 4
Y= 3/4x-3
Table: T X Y
0 4 0
1 0 3
2 -4 6
Parametric Equations:
X=-4T+4
Y=3T
Final Answer:
The point that is
three-fifths of the way from (4, 0) to (0, 3) is the point (1.6, 1.8).
#10, Question #4:
Question:
Find parametric
equations to describe the line 3x+4y=12. Use your equations to find coordinates
for the point that is three-fifths of the way from (4, 0) to (0, 3). By
calculating some distances, verify that you have the correct
point.
Answer:
Equation:
3x+4y=12
-3x -3x
4y=12-3x
4 4 4
Y= 3/4x-3
Table: T X Y
0 4 0
1 0 3
2 -4 6
Parametric Equations:
X=-4T+4
Y=3T
Final Answer:
The point that is
three-fifths of the way from (4, 0) to (0, 3) is the point (1.6, 1.8).
Rotations:
Reflections: