Question

The graph of 3x + 2y = 6 meets the x-axis at point P and the y-axis at point Q. Use the graphical method.
Statement : Then the co-ordinates of points P and Q are P = (2, 0) and Q = (0, 3)
If statement is true then enter $1$ and if false then enter $0$

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.
Given, equation is $3x+2y=6=>y=-\frac{3}{2}x+3$
Substitute different values of x in the equation and calculate to get corresponding values of y.

$x$	$y=-\frac{3}{2}x+3$	Point $(x,y)$
$0$	$3$	$(0,3)$
$2$	$0$	$(2,0)$
$4$	$-3$	$(4,-3)$
$-2$	$6$	$(-2,6)$
$-4$	$9$	$(-4,9)$

Plot these points on the graph paper and join them using a straight line.
On observing the graph, we find that the line meets the x-axis at $(2,0)$ and the y - axis at $(0,3)$.