1. SOLVING LINEAR SYSTEMS by GRAPHING ADV133 Put in slope-intercept form: y = mx + b. y = 4x – 1 y = –x + 4 The solution to a system of linear equations is the point where they intersect. slope y-intercept

2. SOLVING LINEAR SYSTEMS by GRAPHING ADV133 y = 4x – 1 y = –x + 4 Solution: (1, 3) y = 4x – 1 y = –x + 4 slope y-intercept 1. Plot the y-intercept. 2. Use slope to find another point. 3. Graph the line(s). 4. Find where they intersect.

3. SOLVING LINEAR SYSTEMS by GRAPHING ADV133 Find x and y intercepts: ax + by = c. 2x – 3y = 6 x + 2y = 6 Find x-intercept by setting y equal to 0 and solving. Find y-intercept by setting x equal to 0 and solving. 2x – 3y = 6 x + 2y = 6 0 – 3y = 6 y = -2 2x – 0 = 6 x = 3 0 + 2y = 6 y = 3 x + 0 = 6 x = 6

4. SOLVING LINEAR SYSTEMS by GRAPHING ADV133 Solution: (4, 1) 1. Plot the x and y-intercept. 2. Graph the line(s). 3. Find where they intersect. 2x – 3y = 6 x + 2y = 6 x = 3 and y = -2 x = 6 and y = 3 2x – 3y = 6 x + 2y = 6