How Do You Solve Linear Systems By Graphing?
Linear equations are equations that when graphed on a coordinate plane form straight lines. You can remember this by the fact that the word “line” is in the term linear. A linear system is made up of two equations which when graphed will form two lines. There are a number of ways to solve a system of linear equations, one of them being the graphing method. It is necessary to be familiar with the slope-intercept formula (y = mx + b) of graphing in order to use this method of finding solutions to linear systems. When both equations are graphed using the slope-intercept, you will be able to see whether the lines intersect on any point. If they do, you have found the solution. If the lines never cross, the equations in the system do not share a common solution. An example problem will be used in order to illustrate the steps: y = -x -1; -3y + 4x = 24. Put the first equation into slope-intercept form. Slope-intercept form is written as y = mx + b, where the x stands for the slope of the lin