Express the following linear equation in the form $a x+b y+c=0$ and indicate the values of $a, b$ and $c$ in each case
$y=x+5$
$-x+y-5=0 ; a=-1, b=1, c=-5$
The work done by a body on application of a constant force is the product of the constant force and the distance travelled by the body in the direction of force. Express this in the form of a linear equation in two variables and draw its graph by taking the constant force as $3$ units. What is the work done when the distance travelled is $2$ units. Verify it by plotting the graph.
In a Cartesian plane, the graph of equation $y=5$ is a parallel to the…….. $-$axis.
If $(5,2)$ is one of the solutions of equation $x+3 y=k,$ then $k=\ldots \ldots \ldots$
Draw the graph of the linear equation $3 x+4 y=6$. At what points, the graph cuts the $x$ -axis and the $y$ -axis.
A linear equation in two variables has how many solutions ?
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