Week 31 Algebra Review (Slopes and Intercepts Part 2)

Slope

Identifying Slope

Rise over Run

Slope from a graph

There are four types of slopes.

Positive

Negative

Zero

Undefined

Positive Slopes

We read slopes like we read a book, left to right.

Positive slopes go UP as you go from left to right on a graph.

Negative Slopes

We read slopes like we read a book, left to right.

Negative slopes go DOWN as you go from left to right on a graph.

Zero Slopes

We read slopes like we read a book, left to right.

Zero slopes go STRAIGHT ACROSS (HORIZONTAL) as you go from left to right on a graph.

Undefined Slopes

We read slopes like we read a book, left to right.

Undefined slopes go STRAIGHT UP AND DOWN (VERTICAL) as you go from left to right on a graph.

Multiple Choice

What type of slope?

• zero

• undefined

• negative

• positive

Multiple Choice

What type of slope?

• zero

• undefined

• negative

• positive

Multiple Choice

What type of slope?

• zero

• undefined

• negative

• positive

Multiple Choice

What type of slope?

• zero

• undefined

• negative

• positive

More About Zero and Undefined Slopes

Slope from Two Ordered Pairs

Multiple Choice

Find the slope of the line that contains (3, -4) and (-1, 6)

• $$m\ =\ 1$$

• $$m=\frac{5}{2}$$

• $$m=-\frac{5}{2}$$

• $$m=-1$$

Multiple Choice

What is the slope of a vertical line?

• 0

• Undefined

• 1

• 8

Multiple Choice

What the equation of the line shown in the picture?

• x=3

• y=3

• x=0

• Undefined

Multiple Choice

What is the equation of the line shown in the picture?

• x=4

• x=-4

• y=-4

• Y=4

Multiple Choice

The slope of a horizontal line is 0.

• True

• False

• Maybe

Multiple Choice

What does 'b" represent in y=mx+b

• y-intercept

• macaroni

• nothing

• slope

Multiple Choice

In the equation y=mx+b, what does the m represent?

• slope

• y-intercept

• linear

• point-slope

Multiple Choice

If m=3 and b=6, what is the correct slope intercept equation?

• y=3-6

• y=3x-6

• y=3x+6

• y=6x+3

Multiple Choice

$$y=\frac{3}{2}x+3$$  

• slope: 5 & y-intercept: 3 

• slope: 3/2 & y-intercept: 3 

• slope: 4  & y-intercept: 3/2

• slope: 1/5 & y-intercept: 5 

Multiple Choice

Which equation has a positive slope?

• y= 3x + 5

• y= -3x + 5

• y= -3x - 5

Multiple Choice

Which graph has an undefined slope?

Multiple Choice

What is the equation of the blue line on the graph?

• x = −1

• y = 1

• x = 1

• y = -1

Multiple Choice

What is the equation of the red line?

• y = 0

• y = 1

• y = 2

• x = 1

Multiple Choice

What is the equation of the red line pictured?

• y = -4

• x = -4

• y = 4

• x = 4

Multiple Choice

Which is the correct graph for y = 3?

• A

• B

• C

• D

Multiple Choice

Which is the correct graph for x = 2?

• A

• B

• C

• D

Multiple Choice

The line pictured has a(n) ______ slope.

• Positive

• Negative

• Undefined

• Zero

Multiple Choice

Does the following equation represent a vertical line, a horizontal line, or neither?

x = 4

• vertical

• horizontal

• neither

Multiple Choice

What would the graph of the equation x = -4 look like?

• Horizontal line

• Vertical line

Multiple Choice

Does the following equation represent a vertical line, a horizontal line, or neither?

y = −3

• vertical

• horizontal

• neither

Multiple Choice

Vertical or horizontal?

y = -6

• vertical

• horizontal

• neither