Download Day 1 - STUDENT NOTES

Solving a System of Linear Equations by Graphing
Name _______________________
Notes – Day 1
Review of Graphing Linear Equations: The three forms for the equation of a line are
Slope-Intercept Form______________________________________________________
Steps:
1. ________________________________________________
2. ________________________________________________
3. ________________________________________________
Graph each linear function below.
Ex1.
y=
3
x+2
4
Ex2. y = − x − 2
Point-Slope Form_________________________________________________________
Steps:
1. ________________________________________________
2. ________________________________________________
3. ________________________________________________
Graph each linear function below.
Ex3.
y = −2( x − 8) + 3
Ex4.
y=
1
( x + 4) − 7
2
Standard Form___________________________________________________________
1. ________________________________________________
2. ________________________________________________
3. ________________________________________________
Ex5.
3x + 2 y = 12
Ex6.
4 x − 5 y = 24
A SYSTEM OF LINEAR EQUATIONS is a set of 2 or more equations using the same
variables.
The SOLUTION TO A SYSTEM OF LINEAR EQUATIONS is the point of intersection of the
lines. That is, the point that make both equations true!
Is the ordered pair a solution to the system?
According to the graph of the system of equations, what is the solution?
Steps to graphing a system of linear equations:
1. ________________________________________________
2. ________________________________________________
3. ________________________________________________
4. ________________________________________________
Solve each system by graphing.
Solve the system by graphing.
Solve each system of linear equations.
1.
y = 2x − 4
−6x + 3y = −12
Solution ____________________
2.
3x + 2y = 10
3x + 2y = 2
Solution ____________________