How Do You Solve Systems Of Linear Equations By Graphing?
When your teacher hands you a system of linear equations, which is a set of two or more equations, that you need to solve, you have several solving options. One option that works well with simple equations is the graphing method. This is a good choice because it gives you a visual idea of how you came to your answer. In order to use this method, you will need to be very accurate when you do your graphs. Put both equations into slope-intercept form (y = mx +b). If you are solving y = x + 1 and 8 – 2y = -4x, you need to rearrange the second equation so that it is in slope-intercept form. When you solve for y, you get y = 2x +4. Graph both equations on the same Cartesian plane using a straightedge. In the equation y = x + 1, 1 is the y-intercept, so plot a point at (0,1). Then, from that point, apply the slope. In this equation the slope, which is the coefficient of x, is 1, or 1/1. So from your y-intercept, go up 1 and over to the positive side 1. Plot this point, which is (1,2). Connect
