Slopes and Y Intercepts in Graphs

Why will these graphs never cross?

• They have the same y-intercept.

• They have the same slope.

• They are both lines.

• They are both positive slopes.

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.

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

How many solutions?

• 1 Solution

• 2 Solutions

• No solutions

• Infinite solutions

Find the slope and y - intercept

y = 1/2x - 1

• slope: 1/2 y-intercept: -1

• slope: 2 y-intercept: -1

• slope: 1/2x y-intercept: 1

• slope: 2 y-intercept: 5

Find the slope of the line.

Hint: rise/run

• 1/2

• -1/2

• 2

• 0

What is the solution to the system?

• (1, 3)

• (0, 3)

• (3, 1)

• (3, 0)

What is the y-intercept in the equation

y= - 2x

• -2

• -2x

• 0

• 1

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

• Parallel lines

• the same line 

• Intersecting lines