A line is merely plots on a graph that have been connected, but the equation is what sets it up. For example, if the equation is similar to y=-3/4-1, then you use the normal line equation. The normal line equation would be y=mx+b. The m in that case would be the slope, and the b would be the y intercept. You can always plot the y intercept first, because you can tell that is where the y and line meet. Some questions that you could ask, knowing the equation, could be, What is the slope, or the y intercept? Well that depends on the equation your working with.
      Another would be, which way is the line going? The line can go diagonally from one corner to the opposite one. Well, looking by your y intercept, you could tell. First, graph the y intercept, and look at m, or the slope. If the slope is negative, then the line is going to go down diagonally to the right. If the slope is positive, however, then the line is going to go up diagonally to the right. The slope is the main factor is deciding if the line will go in a negative, or positive direction.