Draw the graph of the linear equation whose solutions are represented by the points having the sum of the coordinates as $10$ units.

Draw the graph of each of the equations given below. Also, find the coordinates of the points where the graph intersects the coordinate axes

$3 x+5 y=15$

$5 x-2 y=10$

$4 x+3 y=-12$

$3 x-7 y=21$

$x-y=0$

$2 x-3 y=0$

$x-y=-5$

$5 x-3 y=15$

The equation $2 x+5 y=7$ has a unique solution, if $x, y$ are :

The force exerted to pull a cart is directly proportional to the acceleration produced in the body. Express the statement as a linear equation of two variables and draw the graph of the same by taking the constant mass equal to $6 \,kg .$ Read from the graph, the force required when the acceleration produced is $(i)$ $5\, m / sec ^{2}$, $(ii)$ $6 \,m / sec ^{2}$

Write whether the following statements are True or False? Justify your answers:

The graph given below represents the linear equation $x=3.$ (see $Fig.$)