1. Graph and clearly shade the polygonal set that satises the following system of linear inequalities.
=
3y
=4 4
2y
4x
x+
6
6
2
6
4
2
2
2
4
6
4
6
2. Find the corner point of the above polygonal set.
4 20
,
11 11
3. Find the equation of the line perpendicu
1. Write down the standard form of a linear equation
Ax + By = C
2. Write down the functional form of a linear equation
y = mx + b
3. Let m1 and m2 be slopes of two parallel lines. What is the relation between m1 and
m2?
m1 = m2
4. Let m1 and m2 be slopes
1 Solve the following systems of equations algebraically. If there is one solution, nd
it and check it. If there is none, say so. If there is more than one, nd two.
a)
b)
3 x = 2y + 5
4y = 10 6 x
Many solutions. Examples: (1, 1), (3, 2).
3 x 2y = 2
3y 4 x