What is a LINEAR equation?
An equation that when graphed, creates a straight line.
How many solutions are represented in the graph?

1 solution
Select 2 points that are on the graph of the line 2x+4y=20
a. (0,5)
b. (10,0)
c. (1,4)
d. (5,0)
A and B
Find the intercepts of this linear equation
-3x + 5y = 30
(0, 6)
(-10, 0)
14) What is the solution to the system of linear equations?

(2,2)
Find the intercepts of this linear equation
6x + 12y = 60
(0, 5)
(10, 0)
What does it mean to "find the solution" to a system of linear equations?
It means to find the point (x and y value of) where the 2 lines intersect.
Solve by graphing:
y=-2x+5
y=3x
(1, 3)

Find a point that fits on the blue line. Find a point that doesn't fit on the black line.

blue: (10,0) (0,5) etc.
black: (0,9) (-3,8) etc.
Write a linear equation
y-intercept: 1, slope: -1
y = -x + 1
Solve by graphing:
y=1/2x -5
y=x+1
(-12, -11)

Change the blue equation to look like a linear equation.

y=2x+1
solve simultaneous equations by graphing
5x + 2y = 10
-5x + 4y = 20
point of intersection ( -2, 10)
Solve by graphing:
y=2/3x+6
2x+3y=12
(-1.5, 5)

Write an equation for this line:
y-intercept: 4, slope: -2
y=-2x+4