solving systems of equations by graphing

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Find the slope

• -2/3
• 3/2
• -3/2
• 2/3

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution
• No solution
• Infinitely Many Solutions

The solution is:

• (4, 3)
• (3, 4)
• (-4, 3)
• No solution

How can you tell if a point is a solution to a system?

• It makes the first equation true.
• The (x,y) coordinates satisfy both equations
• It makes logical sense
• It makes neither equation negative

This system has _____ solutions

• no
• 1
• 2
• Infinitely many

Solve the system of equations by graphing.

• (2, 1)

• No Solution

• Infinitely Many Solutions

• (1, 2)

These two lines intersect at _____.

• (4, -2)
• (4, 2)
• (-2, 4) 
• No solution

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

Solve the system of equations by graphing.

• (4, 7)

• (3, 5)

• (6, 7)

• (5, 3)