Vidaara.orgClass 9 · Mathematics
CodeVID-M09-04-GRP-01
Graph of a Linear Equation — Assignment
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 a linear equation in two variables is a:
- A.curve
- B.straight line
- C.circle
- D.point
2.
The graph of $x=3$ is parallel to the:
- A.x-axis
- B.y-axis
- C.line $y=x$
- D.origin
3.
The graph of $y=2$ is parallel to the:
- A.y-axis
- B.x-axis
- C.line $y=x$
- D.origin
4.
The line $y=x$ passes through the:
- A.$(1,0)$
- B.origin
- C.$(0,1)$
- D.$(2,0)$
5.
Every point on the graph of a linear equation is a:
- A.solution
- B.vertex
- C.maximum
- D.tangent
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
What is the graph of $x+y=4$?
7.
The graph of $y=0$ is which line?
8.
The graph of $x=0$ is which line?
9.
Does $(0,0)$ lie on $y=x$?
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Give two points to draw the line $x+y=5$.
11.
The graph of $x=-2$ is parallel to which axis?
12.
Where does $2x+y=4$ cross the x-axis?
13.
Where does $x+2y=6$ cross the y-axis?
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Draw the graph of $2x+y=6$ using its intercepts.
15.
Find the point where $x+y=5$ and $x-y=1$ intersect.
Answer Key
Section A — Multiple Choice Questions
- (B) straight line
- (B) y-axis
- (B) x-axis
- (B) origin
- (A) solution
Section B — Short Answer (2 marks)
- A straight line.
- The x-axis.
- The y-axis.
- Yes.
Section C — Short Answer (3 marks)
- $(0,5)$ and $(5,0)$.
- The y-axis.
- $(2,0)$.
- $(0,3)$.
Section D — Long Answer (5 marks)
- A straight line through $(3,0)$ and $(0,6)$.
- $(3,2)$.
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