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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-08-GRF-01
Graphing Simple Relations - Assignment
Chapter: Coordinate Geometry
Topic: Graphing Simple Relations
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
The graph of $y=x$ passes through the:
  • A.point $(1,0)$
  • B.origin
  • C.point $(0,1)$
  • D.$y$-axis only
2.
The graph of $y=3$ is a:
  • A.vertical line
  • B.horizontal line
  • C.slanted line
  • D.curve
3.
The graph of $x=2$ is a:
  • A.vertical line
  • B.horizontal line
  • C.slanted line
  • D.curve
4.
A linear relation graphs as a:
  • A.circle
  • B.straight line
  • C.curve
  • D.point
5.
To graph a relation, first make a table of:
  • A.primes
  • B.$(x,y)$ values
  • C.angles
  • D.factors
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Does $(2,2)$ lie on $y=x$?
7.
Does $(1,3)$ lie on $y=2x$?
8.
What kind of line is $y=5$?
9.
What kind of line is $x=-1$?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Make a table for $y=x+1$ for $x=0,1,2$.
11.
Does $(3,7)$ lie on $y=2x+1$?
12.
Where does the line $y=x$ cross the origin?
13.
Give two points on the line $y=2x$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Plot the line $y=x+2$ using $x=-1,0,1,2$ and list the points.
15.
For $y=3x-1$, find $y$ when $x=0,1,2$ and state where it crosses the $y$-axis.

Answer Key

Section A — Multiple Choice Questions
  1. (B) origin
  2. (B) horizontal line
  3. (A) vertical line
  4. (B) straight line
  5. (B) $(x,y)$ values
Section B — Short Answer (2 marks)
  1. Yes.
  2. No.
  3. Horizontal.
  4. Vertical.
Section C — Short Answer (3 marks)
  1. $(0,1),\ (1,2),\ (2,3)$.
  2. Yes ($7=7$).
  3. At $(0,0)$.
  4. $(1,2)$ and $(2,4)$.
Section D — Long Answer (5 marks)
  1. $(-1,1),\ (0,2),\ (1,3),\ (2,4)$.
  2. $(0,-1),\ (1,2),\ (2,5)$; crosses the $y$-axis at $(0,-1)$.
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