An equation is said to represent a line if highest power of variable it consists is 1. Most general form of linear equation representing a line is given as: y = mx + c Remember to resolve the equation if it is present in different form. Graphing Lines is an easy task to be done by working following steps:
In above equation “ c ” represents y- intercept. So, to start Graphing by drawing a dot on y- axis at y = c distance from origin. This Point at which graph would be crossing y- axis after its completion. Next select any random value of 'x' other than 0 and mark it on horizontal x - axis you've drawn. Draw vertical line that crosses this point on your x-axis for further help in plotting the graph. Now substitute this value of 'x' just marked into your equation i.e. y = mx + c and solve it for 'y'. After you get the point on y- axis, mark it and draw a horizontal line that crosses this value y- axis.
Put a dot where two lines (drawn horizontally and vertically) intersect. From this point draw a Straight Line to y- intercept. When you extend this line in both directions towards the edges of the plot, it represents graph of the given equation.
There are certain points to be remembered like value of "m" in y = mx + c is the Slope of graph. Slope can be calculated as Ratio of vertical change to horizontal change between two points on graph.
For Example: Graph of equation y = 4x + 10 has Slope of 4 and crosses y- axis at an intercept y = 10.