This worksheet contains 12 math problems involving linear equations and graphs. The problems involve determining the equation of a line given its gradient and y-intercept, finding the gradient and y-intercept of a line given its equation, graphing lines based on data tables, finding equations of lines parallel or perpendicular to given lines, and identifying properties of pairs of lines.

1. Annisaa’ Junior High School Worksheet
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1. Determine the equation for each of the lines running through the origin with the
following values of gradient !
(a) 4 (c) -6
(b) ½ (d) -8
2. Determine the equation for each of the lines having a gradient of 2 and running
through the following points !
(a) (0, 5) (c) (0, 2½)
(b) (0, -3) (d) (0,0)
3. Determine a gradient and the y-intercept of each line, from the equations below :
(a) y = 5x + 3 (c) y = 4x
(b) y = -3x – 2 (d) y = -5
4. Determine the equations for each the lines in the following figure.
Worksheet 4
NNaammee:: ____________________________________________________________ CCllaassss:: __________________
03
Chapter
Linear Equations
a
b
x
y
0 1 2 53 4–1–2–3–4–5
1
2
3
4
5
–2
–1
–4
–3
–5
c

2. Annisaa’ Junior High School Worksheet
@ Math to go Blog 2
3
2
x
2
1
2 2
4
1
1 x
1
3
2
-1
(2, 2)
(-3, 3)
5. Determine the equation for each of the lines running through (0, -6) with the
following value of gradient!
(a) 4 (c)
(b) ½ (d) 0
6. Construct the corresponding lins for the following equations!
(a) y = 4x (c) y = -3x + 4
(b) y = (d) y =
7. From the following figure, find the gradient and the Y-intercept of each line, and
then determine their corresponding equations !
8.
The above table shows the relationship between pumping time and air pressure
within a tire.
(a) Draw the corresponding graph !
(b) Find the corresponding gradient !
(c) Determine the corresponding equation !
9. Determine the equation for each of the lines running through (12, -18) and
perpendicular to the line given by the following equations!
(a) 3x + y = 10
(b) 4x - 6y + 12 = 0
Time (minute) 0 1 2 3 4 5
Pressure (psi) 2 6 10 14 18 22
y
x

3. Annisaa’ Junior High School Worksheet
@ Math to go Blog 3
10. Two pairs of straight lines are given below.
(a) Identify the pair of lines that does not intersect each other. Give a reason for
your answer.
(b) State the gradients and y–intercepts of l1 and l2 for the pair of intersecting
lines.
11. A line l passes through the point (2, 6) and is parallel to the line 2y – 4x = 8.
Find
(a) the equation of l,
(b) the y–intercept of the line.
12. A line segment l passes through points A(–4, 3) and B(–2, 2). Find
(a) the gradient of l,
(b) the equation of l,
(c) the y–intercept of l.
Pair ‘A’ Pair ‘B’
l1
l2
3y + 9x = 6
y = –3x + 3
2y = 3x – 3
y – 2x = 4
Score :
…/20
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