Using this model you can develop an understanding for equations of a line. Use the controls and buttons provided below to explore working of this model. 

Based on your observations from the previous model, try constructing a horizontal and a vertical line. Now change the values of coefficients of x and y and also the constant, to construct a slanted line. Try drawing a slanted line passing through the origin (point where both the white lines intersect). Let's say your equation is 2x+3y=5. What do you think the equation of the line will look like if we change equation to 2x-3y=5. If you draw a slanted line, what will you do to your equation to shift the line parallel to the left or to the right. Make observations and inferences during all the above exercises.