2017­2­24 systems graphing .notebook
February 24, 2017
Today is Fri
2/24
-Copy Down Tonight's HW
-Systems Graphing W.S.
Today's Objective:
Solving systems of linear equations by graphing
2017­2­24 systems graphing .notebook
February 24, 2017
System of linear equations: A group of
two or more linear equations
Solution: An ordered pair (x,y) that
satisfies both equations
Method 1: Graphically
Look at where they cross:
(1, -2)
We'll substitute this point into both equations
2017­2­24 systems graphing .notebook
February 24, 2017
Steps to solving a system of linear equations:
Step 1: Graph each equation on the same graph
-Put equation in y=mx+b form if necessary
Step 2: Find the point of intersection.
Step 3: Check your point from step 2 by substituting
the ordered pair into BOTH equations
Graph the following equations on the same
graph. Label the equations.
{
y=x+3
m = b = y = -4x - 2
m = b = At what ordered pair do these lines intersect?
2017­2­24 systems graphing .notebook
February 24, 2017
CHECK: Does the point (-1,2) work in both equations?
y=x+3
y = -4x - 2
Graph the following equations on the same
graph. Label the equations.
{
y = 2x + 5
m = b = y = -4x - 1 m = b = At what ordered pair do these lines intersect?
2017­2­24 systems graphing .notebook
February 24, 2017
CHECK: Does the point (-1,3) work in both equations?
y = 2x + 5
y = ­4x ­ 1
Graph the following equations on the same
graph. Label the equations.
{
y = - 12 x + 3
m = b = y = 2x - 2 m = b = At what ordered pair do these lines intersect?
2017­2­24 systems graphing .notebook
February 24, 2017
CHECK: Does the point (2,2) work in both equations?
y = 2x - 2
y = - 12x + 3
CHALLENGE
Without sketching the graph, name the ordered pair where
the graphs of the two linear equations intersect.
{
x=2
y = -3
2017­2­24 systems graphing .notebook
February 24, 2017