12/21: Warm Up

What are the steps for graphing a line?

• 1. Plot y-intercept
  2. count slope ratio plot second point
  3. Draw the line.
• 1. Make a table
  2. Plot slope
  3. Draw line
• 1. Plot two points
  2. Check slope
  3. Draw line
• 1. Draw line
  2. Hope it is right

Match the solution to the system of equations.

• (4, -1)

• 
• (2, -1)

• 
• (-2, -1)

• 
• (1, 4)

• 

What is the definition of infinite solutions?

• Slopes are the same, and the y-intercepts are the same. The lines are the same.

• The slopes are the same, the y-intercepts are different. The lines are parallel.

• The slopes are different. The lines intersect at one point.

What is the definition of no solution?

• The slopes are different. The lines intersect at 1 point.

• The slopes are the same, and the y-intercept are different. the lines are parallel.

• The slopes are the same, and the y-intercepts are the same. The lines are the same.

What is the definition of one solution?

• The slopes are the same, and the y-intercepts are the same. The lines are the same.

• The slopes are the same, and the y-intercept are different. the lines are parallel.

• The slopes are different. The lines intersect at 1 point.

How many solutions does this system have?

• One solution

• No solutions

• Infinitely many solutions

How many solutions does this system have?

y = -x + 3

y = -x + 5

• One solution

• No solutions

• Infinitely many solutions

How many solutions does this system have?

y = −5x − 2

y = -2 – 5x

• One solution

• No solutions

• Infinitely many solutions

How many solutions does this system have?

2y = 16x – 2

y = 8x + 2

• One solution

• No solutions

• Infinitely many solutions

Determine whether the following systems of linear equations have no solution, one solution or infinitely many solutions.

• no solution

• 1 solution

• Infinitely many solutions