Slope Y-Intercept Table Graph Equation

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

• Parallel lines

• the same line

• Intersecting lines

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. 

• 1 solution

• 2 Solutions

• No Solution

• Infinite Solutions

How many solutions?

• 1 Solution

• 2 Solutions

• No solutions

• Infinite solutions

How many solutions?

• 1 solution

• 2 solutions

• No solutions

• Infinite Solutions

Why will this system have infinite solutions?

• The equations are both negative.

• The equations are the same.

• They have the same y-intercept but not the same slope.

• They have the same slope but not the same y-intercept.

The solution is:

• (4, 3)

• (3, 4)

• (-4, 3)

• No solution

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-1, 4)

• (1, -4)

• (-4, 1)

• (4, -1)

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. 

What is the first step in solving a system by graphing?

• Write both linear equations in slope-intercept form

• Get x by itself

• Compare the slopes of both equations

• Write both equations in standard form