Draw the graph of each of the equations given below. Also,find the coordinates of the points where the graph intersects the coordinate axes:
$1. 3x + 5y = 15$
$2. 5x - 2y = 10$
$3. 4x + 3y = -12$
$4. 3x - 7y = 21$
$5. x - y = 0$
$6. 2x - 3y = 0$
$7. x - y = -5$
$8. 5x - 3y = 15$

Solve the equation $3x - 1 = x + 7$ and represent the solution$(s)$ on $(1)$ the number line $(2)$ the Cartesian plane.

In a Cartesian plane,the graph of the equation $y=5$ is parallel to the ........ axis.

State whether the following statement is True or False and justify your answer:
Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation.

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.

Write four solutions for the following equation: $2x + 5y = 20$.