Graphing with Slopes and Y-Intercepts

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

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.

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. 

The same line on a graph, has how many solutions?

• One solution

• Infinite solutions

• No solution

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. 3y = -2x + 10 3y = -2x − 1

• One solution

• No solutions

• Infinitely many solutions

How many solutions does this system have?

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

2y = 16x – 2

y = 8x + 2

• One solution

• No solutions

• Infinitely many solutions