Question

On the same graph paper, plot the graphs of $y=2x-1,y=2xandy=2x+1$ from $x=-2tox=4$. Are the graph (line) drawn parallel to each other ? If yes enter 0 otherwise 1,

Answer 1

To draw the graph for the given linear equation, we need to first plot
the points which lie on it, join them to get a straight line.
First equation is $y=2x-1$
Substitute different values of x in the equation and calculate to get corresponding values of y.

$x$	$y=2x-1$	Point $(x,y)$
$0$	$-1$	$(0,-1)$
$2$	$3$	$(2,3)$
$4$	$7$	$(4,7)$
$-1$	$-3$	$(-1,-3)$
$-3$	$-7$	$(-3,-7)$

Plot these points on the graph paper and join them using a straight line.
Second equation is $y=2x$
Substitute different values of x in the equation and calculate to get corresponding values of y.

$x$	$y=2x$	Point $(x,y)$
$0$	$0$	$(0,0)$
$2$	$4$	$(2,4)$
$4$	$8$	$(4,8)$
$-1$	$-2$	$(-1,-2)$
$-3$	$-6$	$(-3,-6)$

Plot these points on the graph paper and join them using a straight line.
For third equation $y=2x+1$, from $x=-2$ to $4$,
Substitute different values of x from $x=-2$ to $4$ in the equation and calculate to get corresponding values of y.

$x$	$y=2x+1$	Point $(x,y)$
$0$	$1$	$(0,1)$
$2$	$5$	$(2,5)$
$4$	$9$	$(4,9)$
$-1$	$-1$	$(-1,-1)$
$-2$	$-3$	$(-2,-3)$

Plot these points on the graph paper and join them using a straight line.
All the three lines are parallel to each other.