Draw a Straight Line from Given Information

Draw a Straight Line from Given Information

Drawing a Straight Line from Given Information

  • Understand the basic definition of a line on a 2-D coordinate plane. A line is the path of a point moving in space and it is determined by two points.

  • Know that every straight line can be defined by its gradient and a point on it. If you have the coordinates of two points on the line, you can draw it.

  • In many cases, you’ll already be given the line’s gradient (the ‘m’ in the equation of a line), and a point on the line (coordinates (x,y)).

  • Use the gradient to determine the ‘steepness’ of the line. A positive gradient slopes upwards from left to right, a negative gradient does the opposite.

  • Draw an x-y axis on your graph paper and plot the initial point given. From there, use the gradient to plot other points on the line.

  • Remember that the gradient is represented as a ‘rise’ over ‘run’ ratio. If your gradient is 3, for example, you will rise 3 units for every 1 unit you run.

  • Once you’ve plotted at least two points on your graph paper, use a straight edge to draw the line that passes through them.

  • Practice will help you get a better understanding. Try drawing lines from different pieces of given information, such as two points, or a gradient and a point.

  • Remember to always check your line against whatever information was given. A mistake in plotting can lead to large errors later in calculations.

  • Key point: A line in two space is fundamentally determined by either two points or a known point and a gradient.