S.chand books class 8 maths solution chapter 23 Linear Graphs exercise 23 B

 EXERCISE 23 B

Question 1

Fill in the blanks:
(i) The graph of x=1 is a line parallel to the ____ axis
(ii) The graph of y=1 is a line parallel to the ____ axis
(iii) The equation ax+by+c=0 (where a and b are not both zero) is called a ___ equation.
(iv) The graph of 2x=1 is a line parallel to the ___ axis

Sol :

Question 2

Graph each of the following equations on a coordinate plane.
(i) x=4
(ii) x=-3
(iii) y=5
(iv) y=-1

Sol :

Question 3

Complete the table of values for each equation and draw each line on a separate coordinate grid.
(i) x+y=5⇒y=5-x

x	-3	-2	-1	0	1	2
y	8					3

Sol :

(ii) $x+2y=-4\rightarrow y=-\dfrac{1}{2}x-2$

x	-6	-4	0	4	6
y	1		-2

Sol :

(iii) $5y-3x=15\rightarrow y=\dfrac{3}{5}x+3$

x	-15	-10	-5	0	5	10
y	-6

Sol :

(iv) $2x+3y=12\rightarrow y=-\dfrac{2}{3}x+4$

x	-9	-6	-3	0	3	6	9
y

Sol :

Question 4

Draw a coordinate grid from -10 to 10 on both axes. Using table of values draw each line on the same grid.
(i) y=x-4
(ii) y=2x-4
(iii) y=3x-4
(iv) y=4x-4

Sol :