Download Worksheet 1: Introduce Graphing Equations

Linear Equations in Two Unknowns: Worksheet 3
Name:
1..
(
)
F.
In each of the following equations, if possible, express y in terms of x, and use a “” to
indicate whether its graph is a straight line or not.
The graph of the equation is:
Equation
a straight line.
(a)
2y = x + 1
y=
(b)
x+y=6
y=
(c)
2x + 3y – 5 = 0
y=
(d)
y = x2
y=
(e)
xy = 1
y=
(f)
x2 + y2 = 1
y=
(g)
1
x  3y
2
y=
(g)
2x – xy + 3y = 5
y=
(g)
2x + 3y = 6
y=
(h)
y
(j)
3y + 1 = 0
y=
(k)
x–3=0
y=
1
1 x
y=
1
not a straight line.
2..
Give two more equations whose graphs are straight lines.
3..
Give two more equations whose graphs are not straight lines.
Discussion:
What are the characteristics of an equation whose graph is a straight line?
Exercise: In each of the following questions, indicate whether its graph is a straight line or not.
The graph of the equation is:
Equation
4..
3x  2 y  7  0
5..
xy + 1 = 0
6..
x+1=0
7..
y = x2 + 2x + 1
8..
1
3x
y
3
2
9..
y
1
2 x
10..
y
1
2
11..
y = x3
12..
y=x
13..
x+y=1
a straight line.
END
2
not a straight line.