Comparing Slopes on a Graph

How many solutions does this system have? Solve by graphing and/or comparing slopes and y-intercepts.
y = x + 3 y = x − (-3)

• One solution

• No solutions

• Infinitely many solutions

How many solutions does this system have?

Solve by graphing and/or comparing slopes and y-intercepts.

3y = -2x + 10

3y = -2x − 1

• One solution

• No solutions

• Infinitely many solutions

Which two lines show a system with no solution?

• Purple and Green

• Green and Red

• Purple and Blue

• Red and Blue

If a system of equations has no solution, what do you know about the slopes and y-intercepts of the two equations?

• They have different slopes and different y-intercepts.

• They have the same slopes and different y-intercepts.

• They have the same slopes and the same y-intercepts.

• They have different slopes and the same y-intercepts.

When two linear equations have the same slope and same y-intercept means that...

• they are coincide to each other

• they are parallel and never touch

• they intersect once intersect once

When two linear equations have the same slope but different y-intercept means that...

• they are coincide to each other

• they are parallel and never touch

• they intersect once intersect once

How many solutions does this system have?

• One solution

• No solutions

• Infinitely many solutions

Find the slope of the graph.

• 2

• 1/2

• 4

• 1/4

Find the slope of the graph.

• -2/-2

• -1

• 1

• -1/-1

Find the slope of the graph.

• Undefined

• 1

• 0

• -2