Solutions Linear Graph Table

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

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

What is the solution?

• (2, 2)

• (3, 2)

• (3, 4)

• (2, 3)

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

What are the steps for graphing a line?

• Plot y-intercept
  count slope ratio plot second point
  Draw the line.

• Make a table
  Plot slope
  Draw line

• Plot two points
  Check slope
  Draw line

• Draw line
  Hope it is right

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. 

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

How many solutions will this system have?

• No Solution

• Infinitely Many Solutions

• No Clue

• One solution

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines

• the same line 

• Intersecting lines

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

• Intersecting lines

• Same line

• Parallel lines