Draw the graph of $x + y = 7.$
To draw the graph, we need at least two solutions of the equation. You can check that $x = 0$, $y = 7$, and $x = 7$, $y = 0$ are solutions of the given equation. So, you can use the following table to draw the graph :
$x$ | $0$ | $7$ |
$y$ | $7$ | $0$ |
Draw the graph by plotting the two points from Table $2$ and then by joining the same by a line (see Fig.)
Check the solutions of the equation $x -2y = 4$ and which are not : $(1,\,1)$
Give the geometric representations of $2x + 9 = 0$ as an equation
$(i)$ in one variable
$(ii)$ in two variables
If the point $(3, \,4)$ lies on the graph of the equation $3y = ax + 7$, find the value of $a$.
If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body, express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as $5$ units. Also read from the graph the work done when the distance travelled by the body is
$(i)$ $2$ units
$(ii)$ $0$ units
Check the solutions of the equation $x -2y = 4$ and which are not : $(\sqrt{2},\, 4 \sqrt{2})$