Comparing Slopes and 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

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. 

Does the system have one, none or infinite solutions?

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

8x + 4y = 12

y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

How many solutions does this system have?

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

y = -x + 3

y = -x + 5

• One solution

• No solutions

• Infinitely many solutions

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?

• One solution

• No solutions

• Infinitely many solutions

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. 

A system of equations has infinite solutions because...

• the equations have the same slopes and different y-intercepts

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

• the equations have different y-intercepts and slopes.

Which two lines show a system with no solution?

• Purple and Green

• Green and Red

• Purple and Blue

• Red and Blue