Write the following equation in the standard form $ax + by + c = 0$ and indicate the values of $a, b,$ and $c$:
$3x + 4y = 24$

The graph of the equation $x+y=11$ passes through the first quadrant and .............

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 $(i)$ $5 \,m/s^2$,$(ii)$ $6 \,m/s^2$.

How many solution$(s)$ of the equation $2x + 1 = x - 3$ are there on the:
$(i)$ Number line
$(ii)$ Cartesian plane

Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a, b$ and $c$ in each case:
$2y - 3x = 14$

Solve the equation $2y + 1 = y + 4$ and represent the solution$(s)$ on $(1)$ the number line $(2)$ the Cartesian plane.