In the sciences, many times it is necessary to be able to interpret graphs as well as be able to graph certain equations. Often data is available in a graphical format and you must be able to extract the necessary information. Other times, it may be helpful to plot an equation in order to fully understand a problem. However, graphing can be difficult for some students. The format in this section is a little different. The first part will be simply showing what some special equations look like in graphical form and the second part will be a series of questions to help you understand graphs better.
First find out the function for the given table. Find the slope. m= (y2-y1)/(x2-x1) m=(-1-(-3)) / (-1-(-2)) m=(-1+3) / (-1+2) m=2/1 m=2 Now equation of line: y-y1=m(x-x1) y-(-3)=2(x-(-2)) y+3=2(x+2) y+3=2x+4 y=2x+1 Now plot these points on the graph, we get the attached graph.