Problems in Slopes and Intercepts

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

What is the number of solutions to the system of equations?

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

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.

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.

• C = 25 + 50h

• C = 50 + 25h

• H = 25 + 50c

• H = 50 + 25c