Graphing
Another method to solving linear equations is by graphing. To find a solution by graphing, the point of intersection of the lines must be found.
| 1.)
First rewrite your equation into slope-intercept
form (y = mx + b) in order to easily identify the slope
(m) and y-intercept (b). (Equations A and B have been rearranged into slope-intercept form.) |
Original Equations:
Equations in slope-intercept form:
|
| 2.) Next, graph each
line (as shown to the right) using the y-intercept and
slope given in each equation. (In equation A, the y-intercept is 3 and slope is -1. In equation B, the y-intercept is -2 and the slope is 2/3.) |
 |
| 3.) The coordinates
of the point where the two lines intersect is the
solution. The solution to this system of equations is written as (3,0). |