1. Warm-Up 1. Put in slope-intercept form: 3x – 4y = -12
2. Graph the line:
y = -1/2 x + 3

2. Homework Questions???

3. DAILY CHECK!

4. Daily Essential Question:
How do I solve a system of Linear equations using the graphing method?

5. System of 2 linear equations:
2 equations with 2 variables (x & y) each.
Ax + By = C
Dx + Ey = F
Solution of a System –
an ordered pair, (x,y) that makes both equations true.

6. Ex: Check whether the ordered pairs are solutions of the system:
Ex: Check whether the ordered pairs are solutions of the system: x - 3y = x + 3y = 10
(-5,0)
-5-3(0)= -5
-5 = -5
-2(-5)+3(0)=10
10=10
Solution
(1,4)
1-3(4)= -5
1-12= -5
-11 = -5
*doesn’t work in the 1st eqn, no need to check the 2nd.
Not a solution.

7. Solving a System Graphically
Graph each equation on the same coordinate plane.
If the lines intersect: The point (ordered pair) where the lines intersect is the solution.

8. ~CHECK~ Ex 1: Solve the system graphically: y = 3x – 12 y = -2x + 3
(3, -3)
~CHECK~

9. ~CHECK~ Ex 2: Solve the system graphically: y = - x – 2 y = 2/3 x + 3
(-3,1)
~CHECK~

10. Ex 3: Solve the system graphically: y = x + 4 y = -x + 2
(-1,3)
~CHECK~

11. Ex 4: Solve graphically: x – y = 5 2x + 2y = 10
(5,0)
~CHECK~

12. Homework
Finish Worksheet!