Math 100A
Systems of Linear Equations II
Name:
1. Determine whether the graphs of the given linear equations are parallel, perpendicular, or
neither.
(a)
10x − 3y = 5
5x + 6y = 3
(b)
−4x + 2y = 12
x + 2y = 6
(c)
1
1
−x + y =
3
3
1
5
x− y =
3
3
Math 100A
Systems of Linear Equations II
2. Find an equation of the line with the given properties. Express your answer in slope-intercept
form. Then graph the equations.
(a) Parallel to y = 4x + 3 through the point (4, 1).
y
✻
5
✲
−10
−5
5
x
−5
−10
(b) Perpendicular to −2x + 5y − 3 = 0 through the point (2, −3).
y
✻
5
✲
−10
−5
5
−5
−10
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x
Math 100A
Systems of Linear Equations II
3. Two points on line L1 and two points on line L2 are given. Are L1 and L2 parallel, perpendicular, or neither?
(a)
L1 : (1, 1); (4, 3).
L2 : (−1, 3); (3, −3).
(b)
L1 : (0, 5); (1, 3).
L2 : (−4, 6); (0, 14).
(c)
L1 : (1, −3); (5, −4).
L2 : (0, 4); (8, 2).
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