Solutions of Equations Slope Intercept Form

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines

• Same line

• Parallel lines

What is the solution to this system?

• One Solution

• No solution

• Infinitely Many Solutions

Based on the equations for each line, determine how many solutions the system would have.

y=2x+3

y=-4x+3

• Infinite Number of Solutions

• No Solution

• One Solution

Based on the equations for each line, determine how many solutions the system would have.

y=5x+3

y=5x-2

• Infinite Number of Solutions

• No Solution

• One Solution

Based on the equations for each line, determine how many solutions the system would have.

y=-3x+2

y=-3x+2

• Infinite Number of Solutions

• No Solution

• One Solution

y = -2x + 18
y = 8

• (5, 8)

• (-5, 8)

• (2, 8)

• (-2, 8)

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

What is the solution?

• (2, 2)

• (3, 2)

• (3, 4)

• (2, 3)

y = -6x + 5
-2x + y = 5

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)

y = -3x + 11
5x + y = 21

• (1, -5)

• (1, 5)

• (-4, 5)

• (5, -4)